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87460736 = 271125647
BaseRepresentation
bin1010011011010…
…00101110000000
320002120110120112
411031220232000
5134342220421
612402330452
72111255366
oct515505600
9202513515
1087460736
1145407600
1225359a28
131517321c
14b889636
157a2945b
hex5368b80

87460736 has 48 divisors (see below), whose sum is σ = 191551920. Its totient is φ = 39747840.

The previous prime is 87460721. The next prime is 87460787. The reversal of 87460736 is 63706478.

It is a junction number, because it is equal to n+sod(n) for n = 87460693 and 87460702.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 12665 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (3990665).

Almost surely, 287460736 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 87460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95775960).

87460736 is an abundant number, since it is smaller than the sum of its proper divisors (104091184).

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

87460736 is a wasteful number, since it uses less digits than its factorization.

87460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 87460736 is about 9352.0444823579. The cubic root of 87460736 is about 443.8855858643.

The spelling of 87460736 in words is "eighty-seven million, four hundred sixty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 5647 7744 11294 15488 22588 45176 62117 90352 124234 180704 248468 361408 496936 683287 722816 993872 1366574 1987744 2733148 3975488 5466296 7950976 10932592 21865184 43730368 87460736