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87356112 = 24337101487
BaseRepresentation
bin1010011010011…
…11001011010000
320002101011001120
411031033023100
5134330343422
612400202240
72110341354
oct515171320
9202334046
1087356112
1145345a38
1225309380
131513770c
14b85d464
157a0845c
hex534f2d0

87356112 has 80 divisors (see below), whose sum is σ = 234544512. Its totient is φ = 27993600.

The previous prime is 87356111. The next prime is 87356123. The reversal of 87356112 is 21165378.

Its product of digits (10080) is a multiple of the sum of its prime divisors (630).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87356111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 179133 + ... + 179619.

Almost surely, 287356112 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 87356112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117272256).

87356112 is an abundant number, since it is smaller than the sum of its proper divisors (147188400).

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

87356112 is a wasteful number, since it uses less digits than its factorization.

87356112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 87356112 is about 9346.4491653248. The cubic root of 87356112 is about 443.7085173945.

The spelling of 87356112 in words is "eighty-seven million, three hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 404 444 487 592 606 808 888 974 1212 1461 1616 1776 1948 2424 2922 3737 3896 4848 5844 7474 7792 11211 11688 14948 18019 22422 23376 29896 36038 44844 49187 54057 59792 72076 89688 98374 108114 144152 147561 179376 196748 216228 288304 295122 393496 432456 590244 786992 864912 1180488 1819919 2360976 3639838 5459757 7279676 10919514 14559352 21839028 29118704 43678056 87356112