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87641112 = 233132571093
BaseRepresentation
bin1010011100101…
…00110000011000
320002220122000010
411032110300120
5134414003422
612410241520
72112636306
oct516246030
9202818003
1087641112
1145520079
12254262a0
1315207360
14b8d5276
157a62b0c
hex5394c18

87641112 has 64 divisors (see below), whose sum is σ = 237091680. Its totient is φ = 26836992.

The previous prime is 87641093. The next prime is 87641117. The reversal of 87641112 is 21114678.

It is a self number, because there is not a number n which added to its sum of digits gives 87641112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87641117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79638 + ... + 80730.

Almost surely, 287641112 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 87641112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118545840).

87641112 is an abundant number, since it is smaller than the sum of its proper divisors (149450568).

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

87641112 is a wasteful number, since it uses less digits than its factorization.

87641112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 87641112 is about 9361.6831819924. The cubic root of 87641112 is about 444.1905277581.

The spelling of 87641112 in words is "eighty-seven million, six hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 514 771 1028 1093 1542 2056 2186 3084 3279 3341 4372 6168 6558 6682 8744 10023 13116 13364 14209 20046 26232 26728 28418 40092 42627 56836 80184 85254 113672 170508 280901 341016 561802 842703 1123604 1685406 2247208 3370812 3651713 6741624 7303426 10955139 14606852 21910278 29213704 43820556 87641112