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87710364 = 223674297
BaseRepresentation
bin1010011101001…
…01101010011100
320010001011000000
411032211222130
5134423212424
612411534300
72113345230
oct516455234
9203034000
1087710364
1145568105
122545a390
131522ca31
14b9125c0
157a783c9
hex53a5a9c

87710364 has 84 divisors (see below), whose sum is σ = 263071984. Its totient is φ = 25054272.

The previous prime is 87710351. The next prime is 87710383. The reversal of 87710364 is 46301778.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18264 + ... + 22560.

Almost surely, 287710364 is an apocalyptic number.

87710364 is a gapful number since it is divisible by the number (84) 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 87710364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131535992).

87710364 is an abundant number, since it is smaller than the sum of its proper divisors (175361620).

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

87710364 is a wasteful number, since it uses less digits than its factorization.

87710364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87710364 is about 9365.3811454740. The cubic root of 87710364 is about 444.3074933505.

The spelling of 87710364 in words is "eighty-seven million, seven hundred ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 4297 5103 6804 8594 10206 12891 17188 20412 25782 30079 38673 51564 60158 77346 90237 116019 120316 154692 180474 232038 270711 348057 360948 464076 541422 696114 812133 1044171 1082844 1392228 1624266 2088342 2436399 3132513 3248532 4176684 4872798 6265026 7309197 9745596 12530052 14618394 21927591 29236788 43855182 87710364