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30590112 = 25373929
BaseRepresentation
bin111010010110…
…0010010100000
32010120010202010
41310230102200
530312340422
63011352520
7521004000
oct164542240
963503663
1030590112
11162a3893
12a2b2740
136450777
1440c4000
152a43b0c
hex1d2c4a0

30590112 has 96 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 8730624.

The previous prime is 30590107. The next prime is 30590129. The reversal of 30590112 is 21109503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32464 + ... + 33392.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 230590112 is an apocalyptic number.

30590112 is a gapful number since it is divisible by the number (32) 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 30590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

30590112 is an abundant number, since it is smaller than the sum of its proper divisors (63153888).

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

30590112 is an equidigital number, since it uses as much as digits as its factorization.

30590112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 30590112 is about 5530.8328486766. The cubic root of 30590112 is about 312.7473864016.

Adding to 30590112 its reverse (21109503), we get a palindrome (51699615).

The spelling of 30590112 in words is "thirty million, five hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 929 1029 1176 1372 1568 1858 2058 2352 2744 2787 3716 4116 4704 5488 5574 6503 7432 8232 10976 11148 13006 14864 16464 19509 22296 26012 29728 32928 39018 44592 45521 52024 78036 89184 91042 104048 136563 156072 182084 208096 273126 312144 318647 364168 546252 624288 637294 728336 955941 1092504 1274588 1456672 1911882 2185008 2549176 3823764 4370016 5098352 7647528 10196704 15295056 30590112