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87063168 = 2731911933
BaseRepresentation
bin1010011000001…
…11101010000000
320001211021012210
411030013222000
5134242010133
612350022120
72105011323
oct514075200
9201737183
1087063168
1145165935
12251a7940
131506428a
14b7c47ba
15799b763
hex5307a80

87063168 has 64 divisors (see below), whose sum is σ = 243453600. Its totient is φ = 27491328.

The previous prime is 87063167. The next prime is 87063169. The reversal of 87063168 is 86136078.

It is an interprime number because it is at equal distance from previous prime (87063167) and next prime (87063169).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (87063161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1330 + ... + 13262.

Almost surely, 287063168 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 87063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121726800).

87063168 is an abundant number, since it is smaller than the sum of its proper divisors (156390432).

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

87063168 is a wasteful number, since it uses less digits than its factorization.

87063168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87063168 is about 9330.7645988954. The cubic root of 87063168 is about 443.2119777637.

The spelling of 87063168 in words is "eighty-seven million, sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 11933 23866 35799 47732 71598 95464 143196 190928 226727 286392 381856 453454 572784 680181 763712 906908 1145568 1360362 1527424 1813816 2291136 2720724 3627632 4582272 5441448 7255264 10882896 14510528 21765792 29021056 43531584 87063168