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139022352 = 24337311483
BaseRepresentation
bin10000100100101…
…01000000010000
3100200121001211000
420102111000100
5241042203402
621443422000
73305445660
oct1022250020
9320531730
10139022352
1171524607
123a684900
1322a57361
141466c1a0
15c311c1c
hex8495010

139022352 has 160 divisors (see below), whose sum is σ = 471080960. Its totient is φ = 38413440.

The previous prime is 139022341. The next prime is 139022353. The reversal of 139022352 is 253220931.

139022352 is a `hidden beast` number, since 1 + 390 + 223 + 52 = 666.

It is a super-2 number, since 2×1390223522 = 38654428711223808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (139022353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93003 + ... + 94485.

It is an arithmetic number, because the mean of its divisors is an integer number (2944256).

Almost surely, 2139022352 is an apocalyptic number.

139022352 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 139022352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235540480).

139022352 is an abundant number, since it is smaller than the sum of its proper divisors (332058608).

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

139022352 is a wasteful number, since it uses less digits than its factorization.

139022352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 139022352 is about 11790.7740203941. The cubic root of 139022352 is about 518.0379115875.

The spelling of 139022352 in words is "one hundred thirty-nine million, twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1483 1488 1512 1674 1736 1953 2232 2604 2966 3024 3348 3472 3906 4449 4464 5208 5859 5932 6696 7812 8898 10381 10416 11718 11864 13347 13392 15624 17796 20762 23436 23728 26694 31143 31248 35592 40041 41524 45973 46872 53388 62286 71184 80082 83048 91946 93429 93744 106776 124572 137919 160164 166096 183892 186858 213552 249144 275838 280287 320328 321811 367784 373716 413757 498288 551676 560574 640656 643622 735568 747432 827514 965433 1103352 1121148 1241271 1287244 1494864 1655028 1930866 2206704 2242296 2482542 2574488 2896299 3310056 3861732 4484592 4965084 5148976 5792598 6620112 7723464 8688897 9930168 11585196 15446928 17377794 19860336 23170392 34755588 46340784 69511176 139022352