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80713512 = 233211223457
BaseRepresentation
bin1001100111110…
…01011100101000
312121212200010100
410303321130220
5131130313022
612001545400
72000024235
oct463713450
9177780110
1080713512
1141619290
1223045260
1313950099
14aa1078c
1571451ac
hex4cf9728

80713512 has 96 divisors (see below), whose sum is σ = 240065280. Its totient is φ = 24295680.

The previous prime is 80713489. The next prime is 80713513. The reversal of 80713512 is 21531708.

80713512 is a `hidden beast` number, since 80 + 71 + 3 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (80713513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176388 + ... + 176844.

It is an arithmetic number, because the mean of its divisors is an integer number (2500680).

Almost surely, 280713512 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 80713512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120032640).

80713512 is an abundant number, since it is smaller than the sum of its proper divisors (159351768).

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

80713512 is a wasteful number, since it uses less digits than its factorization.

80713512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 80713512 is about 8984.0699017761. The cubic root of 80713512 is about 432.1641608617.

It can be divided in two parts, 80713 and 512, that added together give a square (81225 = 2852).

The spelling of 80713512 in words is "eighty million, seven hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 223 264 396 446 457 669 792 892 914 1338 1371 1784 1828 2007 2453 2676 2742 3656 4014 4113 4906 5027 5352 5484 7359 8028 8226 9812 10054 10968 14718 15081 16056 16452 19624 20108 22077 29436 30162 32904 40216 44154 45243 58872 60324 88308 90486 101911 120648 176616 180972 203822 305733 361944 407644 611466 815288 917199 1121021 1222932 1834398 2242042 2445864 3363063 3668796 4484084 6726126 7337592 8968168 10089189 13452252 20178378 26904504 40356756 80713512