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30793932 = 2235132437
BaseRepresentation
bin111010101111…
…0000011001100
32010221111100000
41311132003030
530340401212
63020004300
7522513141
oct165360314
963844300
1030793932
1116422a34
12a390690
1364c2480
1441383c8
152a841dc
hex1d5e0cc

30793932 has 72 divisors (see below), whose sum is σ = 86968336. Its totient is φ = 9471168.

The previous prime is 30793909. The next prime is 30793933. The reversal of 30793932 is 23939703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30793933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11418 + ... + 13854.

Almost surely, 230793932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30793932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43484168).

30793932 is an abundant number, since it is smaller than the sum of its proper divisors (56174404).

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

30793932 is a wasteful number, since it uses less digits than its factorization.

30793932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 30793932 is about 5549.2280544234. The cubic root of 30793932 is about 313.4404547974.

The spelling of 30793932 in words is "thirty million, seven hundred ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 2437 3159 4212 4874 6318 7311 9748 12636 14622 21933 29244 31681 43866 63362 65799 87732 95043 126724 131598 190086 197397 263196 285129 380172 394794 570258 592191 789588 855387 1140516 1184382 1710774 2368764 2566161 3421548 5132322 7698483 10264644 15396966 30793932