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87410304 = 2732233299
BaseRepresentation
bin1010011010111…
…00011010000000
320002110220101200
411031130122000
5134334112204
612401301200
72110655352
oct515343200
9202426350
1087410304
1145382723
1225334800
1315156297
14b8750d2
157a19539
hex535c680

87410304 has 96 divisors (see below), whose sum is σ = 262548000. Its totient is φ = 27861504.

The previous prime is 87410299. The next prime is 87410363. The reversal of 87410304 is 40301478.

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

It is a super-2 number, since 2×874103042 = 15281122490744832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24847 + ... + 28145.

It is an arithmetic number, because the mean of its divisors is an integer number (2734875).

Almost surely, 287410304 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 87410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131274000).

87410304 is an abundant number, since it is smaller than the sum of its proper divisors (175137696).

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

87410304 is a wasteful number, since it uses less digits than its factorization.

87410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87410304 is about 9349.3477847388. The cubic root of 87410304 is about 443.8002510308.

The spelling of 87410304 in words is "eighty-seven million, four hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3299 3312 4416 6598 6624 8832 9897 13196 13248 19794 26392 26496 29691 39588 52784 59382 75877 79176 105568 118764 151754 158352 211136 227631 237528 303508 316704 422272 455262 475056 607016 633408 682893 910524 950112 1214032 1266816 1365786 1821048 1900224 2428064 2731572 3642096 3800448 4856128 5463144 7284192 9712256 10926288 14568384 21852576 29136768 43705152 87410304