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80568096 = 25371131061
BaseRepresentation
bin1001100110101…
…01111100100000
312121121021122120
410303111330200
5131111134341
611554504240
71665550260
oct463257440
9177537576
1080568096
114152a004
1222b95080
13138cbb3b
14a9b37a0
157117066
hex4cd5f20

80568096 has 96 divisors (see below), whose sum is σ = 244073088. Its totient is φ = 22794240.

The previous prime is 80568091. The next prime is 80568097. The reversal of 80568096 is 69086508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80568091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75406 + ... + 76466.

It is an arithmetic number, because the mean of its divisors is an integer number (2542428).

Almost surely, 280568096 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 80568096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122036544).

80568096 is an abundant number, since it is smaller than the sum of its proper divisors (163504992).

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

80568096 is a wasteful number, since it uses less digits than its factorization.

80568096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 80568096 is about 8975.9732619923. The cubic root of 80568096 is about 431.9044713326.

The spelling of 80568096 in words is "eighty million, five hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1061 1356 1582 1808 2122 2373 2712 3164 3183 3616 4244 4746 5424 6328 6366 7427 8488 9492 10848 12656 12732 14854 16976 18984 22281 25312 25464 29708 33952 37968 44562 50928 59416 75936 89124 101856 118832 119893 178248 237664 239786 356496 359679 479572 712992 719358 839251 959144 1438716 1678502 1918288 2517753 2877432 3357004 3836576 5035506 5754864 6714008 10071012 11509728 13428016 20142024 26856032 40284048 80568096