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87987360 = 2535183307
BaseRepresentation
bin1010011111010…
…01010010100000
320010120012222010
411033221102200
5140011043420
612421512520
72115610626
oct517512240
9203505863
1087987360
114573722a
1225572740
13152c8b36
14b985516
157ad04e0
hex53e94a0

87987360 has 48 divisors (see below), whose sum is σ = 277161696. Its totient is φ = 23463168.

The previous prime is 87987323. The next prime is 87987371. The reversal of 87987360 is 6378978.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91174 + ... + 92133.

It is an arithmetic number, because the mean of its divisors is an integer number (5774202).

Almost surely, 287987360 is an apocalyptic number.

87987360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87987360 is an abundant number, since it is smaller than the sum of its proper divisors (189174336).

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

87987360 is a wasteful number, since it uses less digits than its factorization.

87987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183325 (or 183317 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 87987360 is about 9380.1577811890. The cubic root of 87987360 is about 444.7747207999.

The spelling of 87987360 in words is "eighty-seven million, nine hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 183307 366614 549921 733228 916535 1099842 1466456 1833070 2199684 2749605 2932912 3666140 4399368 5499210 5865824 7332280 8798736 10998420 14664560 17597472 21996840 29329120 43993680 87987360