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155980032 = 2831317919
BaseRepresentation
bin10010100110000…
…01000100000000
3101212111121101020
421103001010000
5304412330112
623251105440
73602544165
oct1123010400
9355447336
10155980032
118005711a
12442a2280
1326413aa0
1416a0406c
15da6148c
hex94c1100

155980032 has 144 divisors (see below), whose sum is σ = 473880960. Its totient is φ = 45121536.

The previous prime is 155979983. The next prime is 155980037. The reversal of 155980032 is 230089551.

It is a junction number, because it is equal to n+sod(n) for n = 155979975 and 155980002.

It is not an unprimeable number, because it can be changed into a prime (155980037) 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 15 ways as a sum of consecutive naturals, for example, 169269 + ... + 170187.

It is an arithmetic number, because the mean of its divisors is an integer number (3290840).

Almost surely, 2155980032 is an apocalyptic number.

155980032 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 155980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236940480).

155980032 is an abundant number, since it is smaller than the sum of its proper divisors (317900928).

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

155980032 is a wasteful number, since it uses less digits than its factorization.

155980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 155980032 is about 12489.1966114719. The cubic root of 155980032 is about 538.2982918549.

The spelling of 155980032 in words is "one hundred fifty-five million, nine hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 919 1088 1248 1326 1632 1664 1768 1838 2176 2496 2652 2757 3264 3328 3536 3676 4352 4992 5304 5514 6528 7072 7352 9984 10608 11028 11947 13056 14144 14704 15623 21216 22056 23894 28288 29408 31246 35841 42432 44112 46869 47788 56576 58816 62492 71682 84864 88224 93738 95576 117632 124984 143364 169728 176448 187476 191152 203099 235264 249968 286728 352896 374952 382304 406198 499936 573456 609297 705792 749904 764608 812396 999872 1146912 1218594 1499808 1529216 1624792 1999744 2293824 2437188 2999616 3058432 3249584 3999488 4587648 4874376 5999232 6499168 9175296 9748752 11998464 12998336 19497504 25996672 38995008 51993344 77990016 155980032