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87260712 = 233711232053
BaseRepresentation
bin1010011001101…
…11111000101000
320002012022012020
411030313320220
5134314320322
612354144440
72106463260
oct514677050
9202168166
1087260712
11452902a0
1225282120
1315103176
14b8367a0
1579da05c
hex5337e28

87260712 has 128 divisors (see below), whose sum is σ = 283944960. Its totient is φ = 21669120.

The previous prime is 87260707. The next prime is 87260729. The reversal of 87260712 is 21706278.

It is a super-2 number, since 2×872607122 = 15228863717493888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41478 + ... + 43530.

It is an arithmetic number, because the mean of its divisors is an integer number (2218320).

Almost surely, 287260712 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 87260712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141972480).

87260712 is an abundant number, since it is smaller than the sum of its proper divisors (196684248).

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

87260712 is a wasteful number, since it uses less digits than its factorization.

87260712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 87260712 is about 9341.3442287500. The cubic root of 87260712 is about 443.5469365955.

The spelling of 87260712 in words is "eighty-seven million, two hundred sixty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 759 924 966 1012 1288 1518 1771 1848 1932 2024 2053 3036 3542 3864 4106 5313 6072 6159 7084 8212 10626 12318 14168 14371 16424 21252 22583 24636 28742 42504 43113 45166 47219 49272 57484 67749 86226 90332 94438 114968 135498 141657 158081 172452 180664 188876 270996 283314 316162 330533 344904 377752 474243 519409 541992 566628 632324 661066 948486 991599 1038818 1133256 1264648 1322132 1558227 1896972 1983198 2077636 2644264 3116454 3635863 3793944 3966396 4155272 6232908 7271726 7932792 10907589 12465816 14543452 21815178 29086904 43630356 87260712