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86671360 = 2155232
BaseRepresentation
bin1010010101010…
…00000000000000
320001002100202101
411022220000000
5134141440420
612333400144
72101460116
oct512500000
9201070671
1086671360
1144a18526
1225039054
1314c57b39
14b721ab6
15792060a
hex52a8000

86671360 has 96 divisors (see below), whose sum is σ = 217445130. Its totient is φ = 33161216.

The previous prime is 86671349. The next prime is 86671373. The reversal of 86671360 is 6317668.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 8667136 = 8832^2 + 2944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3768309 + ... + 3768331.

Almost surely, 286671360 is an apocalyptic number.

86671360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108722565).

86671360 is an abundant number, since it is smaller than the sum of its proper divisors (130773770).

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

86671360 is an frugal number, since it uses more digits than its factorization.

86671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 86671360 is about 9309.7454315357. The cubic root of 86671360 is about 442.5461196570.

The spelling of 86671360 in words is "eighty-six million, six hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 529 640 736 920 1024 1058 1280 1472 1840 2048 2116 2560 2645 2944 3680 4096 4232 5120 5290 5888 7360 8192 8464 10240 10580 11776 14720 16384 16928 20480 21160 23552 29440 32768 33856 40960 42320 47104 58880 67712 81920 84640 94208 117760 135424 163840 169280 188416 235520 270848 338560 376832 471040 541696 677120 753664 942080 1083392 1354240 1884160 2166784 2708480 3768320 4333568 5416960 8667136 10833920 17334272 21667840 43335680 86671360