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30157056 = 28334363
BaseRepresentation
bin111001100001…
…0100100000000
32002202010201000
41303002210000
530210011211
62554212000
7514221306
oct163024400
962663630
1030157056
1116028496
12a124000
13632b617
144010276
1529aa656
hex1cc2900

30157056 has 72 divisors (see below), whose sum is σ = 89200160. Its totient is φ = 10050048.

The previous prime is 30157051. The next prime is 30157063. The reversal of 30157056 is 65075103.

It is a tau number, because it is divible by the number of its divisors (72).

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 (30157051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4731 + ... + 9093.

Almost surely, 230157056 is an apocalyptic number.

30157056 is a gapful number since it is divisible by the number (36) 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 30157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44600080).

30157056 is an abundant number, since it is smaller than the sum of its proper divisors (59043104).

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

30157056 is an equidigital number, since it uses as much as digits as its factorization.

30157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 30157056 is about 5491.5440451662. The cubic root of 30157056 is about 311.2645398927.

The spelling of 30157056 in words is "thirty million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4363 6912 8726 13089 17452 26178 34904 39267 52356 69808 78534 104712 117801 139616 157068 209424 235602 279232 314136 418848 471204 558464 628272 837696 942408 1116928 1256544 1675392 1884816 2513088 3350784 3769632 5026176 7539264 10052352 15078528 30157056