Search a number
-
+
87130112 = 2152659
BaseRepresentation
bin1010011000110…
…00000000000000
320001221200001012
411030120000000
5134301130422
612351300052
72105410436
oct514300000
9201850035
1087130112
1145201163
122521a628
13150888a4
14b800d56
1579b14e2
hex5318000

87130112 has 32 divisors (see below), whose sum is σ = 174323100. Its totient is φ = 43548672.

The previous prime is 87130103. The next prime is 87130139. The reversal of 87130112 is 21103178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31439 + ... + 34097.

Almost surely, 287130112 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 87130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87161550).

87130112 is an abundant number, since it is smaller than the sum of its proper divisors (87192988).

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

87130112 is an frugal number, since it uses more digits than its factorization.

87130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 87130112 is about 9334.3511825943. The cubic root of 87130112 is about 443.3255458083.

The spelling of 87130112 in words is "eighty-seven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2659 4096 5318 8192 10636 16384 21272 32768 42544 85088 170176 340352 680704 1361408 2722816 5445632 10891264 21782528 43565056 87130112