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30157688 = 2311973533
BaseRepresentation
bin111001100001…
…0101101111000
32002202011120102
41303002231320
530210021223
62554214532
7514223201
oct163025570
962664512
1030157688
1116028a10
12a124448
13632b9b2
1440105a8
1529aa928
hex1cc2b78

30157688 has 32 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 13562880.

The previous prime is 30157681. The next prime is 30157703. The reversal of 30157688 is 88675103.

It is a super-2 number, since 2×301576882 = 1818972291010688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30157681) 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 7 ways as a sum of consecutive naturals, for example, 6770 + ... + 10302.

Almost surely, 230157688 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 30157688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).

30157688 is an abundant number, since it is smaller than the sum of its proper divisors (32182072).

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

30157688 is a wasteful number, since it uses less digits than its factorization.

30157688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 30157688 is about 5491.6015878794. The cubic root of 30157688 is about 311.2667142629.

The spelling of 30157688 in words is "thirty million, one hundred fifty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 3533 4268 7066 8536 14132 28264 38863 77726 155452 310904 342701 685402 1370804 2741608 3769711 7539422 15078844 30157688