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87960216 = 2338294421
BaseRepresentation
bin1010011111000…
…10101010011000
320010111211201210
411033202222120
5140004211331
612421143120
72115435531
oct517425230
9203454653
1087960216
11457188a3
122555aaa0
13152b9686
14b979688
157ac7446
hex53e2a98

87960216 has 32 divisors (see below), whose sum is σ = 220215600. Its totient is φ = 29278080.

The previous prime is 87960167. The next prime is 87960263. The reversal of 87960216 is 61206978.

87960216 is a nontrivial binomial coefficient, being equal to C(13264, 2).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17686 + ... + 22106.

Almost surely, 287960216 is an apocalyptic number.

87960216 is the 13263-rd triangular number and also the 6632-nd hexagonal number.

It is an amenable number.

87960216 is an abundant number, since it is smaller than the sum of its proper divisors (132255384).

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

87960216 is a wasteful number, since it uses less digits than its factorization.

87960216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 87960216 is about 9378.7107856037. The cubic root of 87960216 is about 444.7289785981.

The spelling of 87960216 in words is "eighty-seven million, nine hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 829 1658 2487 3316 4421 4974 6632 8842 9948 13263 17684 19896 26526 35368 53052 106104 3665009 7330018 10995027 14660036 21990054 29320072 43980108 87960216