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139221432 = 233271716249
BaseRepresentation
bin10000100110001…
…01100110111000
3100200222011220100
420103011212320
5241120041212
621451555400
73310235250
oct1023054670
9320864810
10139221432
1171650139
123a75bb60
1322ac6b5c
14146c0960
15c350bdc
hex84c59b8

139221432 has 96 divisors (see below), whose sum is σ = 456300000. Its totient is φ = 37435392.

The previous prime is 139221421. The next prime is 139221437. The reversal of 139221432 is 234122931.

It is a happy number.

139221432 is a `hidden beast` number, since 1 + 3 + 9 + 221 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 139221396 and 139221405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139221437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444 + ... + 16692.

It is an arithmetic number, because the mean of its divisors is an integer number (4753125).

Almost surely, 2139221432 is an apocalyptic number.

139221432 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 139221432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228150000).

139221432 is an abundant number, since it is smaller than the sum of its proper divisors (317078568).

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

139221432 is a wasteful number, since it uses less digits than its factorization.

139221432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16285 (or 16278 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 139221432 is about 11799.2131941075. The cubic root of 139221432 is about 518.2850704010.

The spelling of 139221432 in words is "one hundred thirty-nine million, two hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 16249 32498 48747 64996 97494 113743 129992 146241 194988 227486 276233 292482 341229 389976 454972 552466 584964 682458 828699 909944 1023687 1104932 1169928 1364916 1657398 1933631 2047374 2209864 2486097 2729832 3314796 3867262 4094748 4972194 5800893 6629592 7734524 8189496 9944388 11601786 15469048 17402679 19888776 23203572 34805358 46407144 69610716 139221432