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68136720 = 24351931471
BaseRepresentation
bin1000000111110…
…10111100010000
311202012201000020
410003322330100
5114420333340
610432223440
71455103221
oct403727420
9152181006
1068136720
1135509143
121a99ab80
13111686b2
149099248
155ead9d0
hex40faf10

68136720 has 80 divisors (see below), whose sum is σ = 212462592. Its totient is φ = 18063360.

The previous prime is 68136703. The next prime is 68136743. The reversal of 68136720 is 2763186.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×681367202 = 9285225224716800, which contains 22 as substring.

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, 45585 + ... + 47055.

Almost surely, 268136720 is an apocalyptic number.

68136720 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 68136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106231296).

68136720 is an abundant number, since it is smaller than the sum of its proper divisors (144325872).

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

68136720 is a wasteful number, since it uses less digits than its factorization.

68136720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 68136720 is about 8254.4969562051. The cubic root of 68136720 is about 408.4388779878.

It can be divided in two parts, 681 and 36720, that added together give a triangular number (37401 = T273).

The spelling of 68136720 in words is "sixty-eight million, one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1471 1544 1930 2316 2895 2942 3088 3860 4413 4632 5790 5884 7355 7720 8826 9264 11580 11768 14710 15440 17652 22065 23160 23536 29420 35304 44130 46320 58840 70608 88260 117680 176520 283903 353040 567806 851709 1135612 1419515 1703418 2271224 2839030 3406836 4258545 4542448 5678060 6813672 8517090 11356120 13627344 17034180 22712240 34068360 68136720