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87127616 = 2619137523
BaseRepresentation
bin1010011000101…
…11011001000000
320001221112121202
411030113121000
5134301040431
612351240332
72105400242
oct514273100
9201845552
1087127616
11451aa2a4
12252190a8
1315087704
14b800092
1579b08cb
hex5317640

87127616 has 56 divisors (see below), whose sum is σ = 183672480. Its totient is φ = 40891392.

The previous prime is 87127603. The next prime is 87127693. The reversal of 87127616 is 61672178.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 87127616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166331 + ... + 166853.

Almost surely, 287127616 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 87127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91836240).

87127616 is an abundant number, since it is smaller than the sum of its proper divisors (96544864).

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

87127616 is a wasteful number, since it uses less digits than its factorization.

87127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The square root of 87127616 is about 9334.2174819317. The cubic root of 87127616 is about 443.3213124799.

The spelling of 87127616 in words is "eighty-seven million, one hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 137 152 274 304 523 548 608 1046 1096 1216 2092 2192 2603 4184 4384 5206 8368 8768 9937 10412 16736 19874 20824 33472 39748 41648 71651 79496 83296 143302 158992 166592 286604 317984 573208 635968 1146416 1361369 2292832 2722738 4585664 5445476 10890952 21781904 43563808 87127616