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153055032 = 233131925819
BaseRepresentation
bin10010001111101…
…10111100111000
3101200000000000220
421013312330320
5303140230112
623104300040
73535642404
oct1107667470
9350000026
10153055032
1179439569
1243311620
132592b610
1416482104
15d68498c
hex91f6f38

153055032 has 64 divisors (see below), whose sum is σ = 433776000. Its totient is φ = 44613504.

The previous prime is 153054989. The next prime is 153055037. The reversal of 153055032 is 230550351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 153054993 and 153055011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153055037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6982 + ... + 18837.

It is an arithmetic number, because the mean of its divisors is an integer number (6777750).

Almost surely, 2153055032 is an apocalyptic number.

153055032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153055032 is an abundant number, since it is smaller than the sum of its proper divisors (280720968).

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

153055032 is a wasteful number, since it uses less digits than its factorization.

153055032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25860 (or 25856 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 153055032 is about 12371.5412136079. The cubic root of 153055032 is about 534.9122422801.

The spelling of 153055032 in words is "one hundred fifty-three million, fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 25819 51638 77457 103276 154914 206552 309828 335647 490561 619656 671294 981122 1006941 1342588 1471683 1962244 2013882 2685176 2943366 3924488 4027764 5886732 6377293 8055528 11773464 12754586 19131879 25509172 38263758 51018344 76527516 153055032