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68798160 = 243553539
BaseRepresentation
bin1000001100111…
…00011011010000
311210110022100000
410012130123100
5120103020120
610454330000
71463526504
oct406343320
9153408300
1068798160
1135920092
121b059900
131133a792
1491cc304
15608e990
hex419c6d0

68798160 has 120 divisors (see below), whose sum is σ = 239672160. Its totient is φ = 18340992.

The previous prime is 68798159. The next prime is 68798173. The reversal of 68798160 is 6189786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17671 + ... + 21209.

It is an arithmetic number, because the mean of its divisors is an integer number (1997268).

Almost surely, 268798160 is an apocalyptic number.

68798160 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 68798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119836080).

68798160 is an abundant number, since it is smaller than the sum of its proper divisors (170874000).

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

68798160 is a wasteful number, since it uses less digits than its factorization.

68798160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 68798160 is about 8294.4656247404. The cubic root of 68798160 is about 409.7562699726.

The spelling of 68798160 in words is "sixty-eight million, seven hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3539 3888 4860 6480 7078 9720 10617 14156 17695 19440 21234 28312 31851 35390 42468 53085 56624 63702 70780 84936 95553 106170 127404 141560 159255 169872 191106 212340 254808 283120 286659 318510 382212 424680 477765 509616 573318 637020 764424 849360 859977 955530 1146636 1274040 1433295 1528848 1719954 1911060 2293272 2548080 2866590 3439908 3822120 4299885 4586544 5733180 6879816 7644240 8599770 11466360 13759632 17199540 22932720 34399080 68798160