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68794080 = 2535251571
BaseRepresentation
bin1000001100110…
…11011011100000
311210110002201220
410012123123200
5120102402310
610454255040
71463511555
oct406333340
9153402656
1068794080
1135918013
121b057480
1311338974
1491caa2c
15608d670
hex419b6e0

68794080 has 96 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 18240000.

The previous prime is 68794067. The next prime is 68794091. The reversal of 68794080 is 8049786.

It is a happy number.

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

It is a congruent number.

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, 120195 + ... + 120765.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 268794080 is an apocalyptic number.

68794080 is a gapful number since it is divisible by the number (60) 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 68794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

68794080 is an abundant number, since it is smaller than the sum of its proper divisors (149151648).

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

68794080 is a wasteful number, since it uses less digits than its factorization.

68794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68794080 is about 8294.2196739657. The cubic root of 68794080 is about 409.7481697626.

The spelling of 68794080 in words is "sixty-eight million, seven hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 571 753 1004 1142 1255 1506 1713 2008 2284 2510 2855 3012 3426 3765 4016 4568 5020 5710 6024 6852 7530 8032 8565 9136 10040 11420 12048 13704 15060 17130 18272 20080 22840 24096 27408 30120 34260 40160 45680 54816 60240 68520 91360 120480 137040 143321 274080 286642 429963 573284 716605 859926 1146568 1433210 1719852 2149815 2293136 2866420 3439704 4299630 4586272 5732840 6879408 8599260 11465680 13758816 17198520 22931360 34397040 68794080