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87050560 = 2651991367
BaseRepresentation
bin1010011000001…
…00100101000000
320001210121220211
411030010211000
5134241104220
612345443504
72104626502
oct514044500
9201717824
1087050560
1145157413
12251a0594
131505b60c
14b7bdd72
157997b5a
hex5304940

87050560 has 56 divisors (see below), whose sum is σ = 208483200. Its totient is φ = 34619904.

The previous prime is 87050549. The next prime is 87050569. The reversal of 87050560 is 6505078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87050569) 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, 62997 + ... + 64363.

Almost surely, 287050560 is an apocalyptic number.

87050560 is a gapful number since it is divisible by the number (80) 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 87050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

87050560 is an abundant number, since it is smaller than the sum of its proper divisors (121432640).

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

87050560 is a wasteful number, since it uses less digits than its factorization.

87050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 87050560 is about 9330.0889599189. The cubic root of 87050560 is about 443.1905822394.

The spelling of 87050560 in words is "eighty-seven million, fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 199 320 398 796 995 1367 1592 1990 2734 3184 3980 5468 6368 6835 7960 10936 12736 13670 15920 21872 27340 31840 43744 54680 63680 87488 109360 218720 272033 437440 544066 1088132 1360165 2176264 2720330 4352528 5440660 8705056 10881320 17410112 21762640 43525280 87050560