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30890916 = 22337291409
BaseRepresentation
bin111010111010…
…1101110100100
32011010102101000
41311311232210
530402002131
63022033300
7523365660
oct165655644
964112330
1030890916
1116489891
12a418830
136527664
1441618a0
152aa2ce6
hex1d75ba4

30890916 has 96 divisors (see below), whose sum is σ = 94752000. Its totient is φ = 8515584.

The previous prime is 30890869. The next prime is 30890929. The reversal of 30890916 is 61909803.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21220 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (987000).

Almost surely, 230890916 is an apocalyptic number.

30890916 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 30890916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47376000).

30890916 is an abundant number, since it is smaller than the sum of its proper divisors (63861084).

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

30890916 is a wasteful number, since it uses less digits than its factorization.

30890916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 30890916 is about 5557.9596975869. The cubic root of 30890916 is about 313.7691651388.

The spelling of 30890916 in words is "thirty million, eight hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1409 1566 1827 2436 2818 3132 3654 4227 5481 5636 7308 8454 9863 10962 12681 16908 19726 21924 25362 29589 38043 39452 40861 50724 59178 76086 81722 88767 118356 122583 152172 163444 177534 245166 266301 286027 355068 367749 490332 532602 572054 735498 858081 1065204 1103247 1144108 1470996 1716162 2206494 2574243 3432324 4412988 5148486 7722729 10296972 15445458 30890916