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139234032 = 24337411123
BaseRepresentation
bin10000100110010…
…00101011110000
3100200222211012000
420103020223300
5241120442112
621452134000
73310320060
oct1023105360
9320884160
10139234032
1171659653
123a767300
1322acc802
14146c53a0
15c3547dc
hex84c8af0

139234032 has 160 divisors (see below), whose sum is σ = 468303360. Its totient is φ = 38776320.

The previous prime is 139234031. The next prime is 139234049. The reversal of 139234032 is 230432931.

It is a happy number.

It is a super-2 number, since 2×1392340322 = 38772231333954048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 139233987 and 139234005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139234031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123423 + ... + 124545.

It is an arithmetic number, because the mean of its divisors is an integer number (2926896).

Almost surely, 2139234032 is an apocalyptic number.

139234032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234151680).

139234032 is an abundant number, since it is smaller than the sum of its proper divisors (329069328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

139234032 is a wasteful number, since it uses less digits than its factorization.

139234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 139234032 is about 11799.7471159343. The cubic root of 139234032 is about 518.3007054336.

Adding to 139234032 its reverse (230432931), we get a palindrome (369666963).

It can be divided in two parts, 13923 and 4032, that added together give a triangular number (17955 = T189).

The spelling of 139234032 in words is "one hundred thirty-nine million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1123 1148 1476 1512 1722 1968 2214 2246 2296 2583 2952 3024 3369 3444 4428 4492 4592 5166 5904 6738 6888 7749 7861 8856 8984 10107 10332 13476 13776 15498 15722 17712 17968 20214 20664 23583 26952 30321 30996 31444 40428 41328 46043 47166 53904 60642 61992 62888 70749 80856 92086 94332 121284 123984 125776 138129 141498 161712 184172 188664 212247 242568 276258 282996 322301 368344 377328 414387 424494 485136 552516 565992 644602 736688 828774 848988 966903 1105032 1131984 1243161 1289204 1657548 1697976 1933806 2210064 2486322 2578408 2900709 3315096 3395952 3867612 4972644 5156816 5801418 6630192 7735224 8702127 9945288 11602836 15470448 17404254 19890576 23205672 34808508 46411344 69617016 139234032