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87043264 = 26711171039
BaseRepresentation
bin1010011000000…
…10110011000000
320001210020220121
411030002303000
5134240341024
612345350024
72104566310
oct514026300
9201706817
1087043264
1145151990
1225198314
13150581b9
14b7bb440
1579958e4
hex5302cc0

87043264 has 112 divisors (see below), whose sum is σ = 228234240. Its totient is φ = 31887360.

The previous prime is 87043259. The next prime is 87043273. The reversal of 87043264 is 46234078.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83257 + ... + 84295.

Almost surely, 287043264 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 87043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

87043264 is an abundant number, since it is smaller than the sum of its proper divisors (141190976).

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

87043264 is a wasteful number, since it uses less digits than its factorization.

87043264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 87043264 is about 9329.6979586694. The cubic root of 87043264 is about 443.1782001294.

The spelling of 87043264 in words is "eighty-seven million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1039 1088 1232 1309 1496 1904 2078 2464 2618 2992 3808 4156 4928 5236 5984 7273 7616 8312 10472 11429 11968 14546 16624 17663 20944 22858 29092 33248 35326 41888 45716 58184 66496 70652 80003 83776 91432 116368 123641 141304 160006 182864 194293 232736 247282 282608 320012 365728 388586 465472 494564 565216 640024 731456 777172 989128 1130432 1280048 1360051 1554344 1978256 2560096 2720102 3108688 3956512 5120192 5440204 6217376 7913024 10880408 12434752 21760816 43521632 87043264