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68139264 = 283172307
BaseRepresentation
bin1000000111110…
…11100100000000
311202012211111110
410003323210000
5114420424024
610432243320
71455113514
oct403734400
9152184443
1068139264
1135510046
121a9a0540
13111698bb
14909a144
155eae629
hex40fb900

68139264 has 108 divisors (see below), whose sum is σ = 193272464. Its totient is φ = 21307392.

The previous prime is 68139259. The next prime is 68139283. The reversal of 68139264 is 46293186.

68139264 = T167 + T168 + ... + T744.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221799 + ... + 222105.

Almost surely, 268139264 is an apocalyptic number.

68139264 is a gapful number since it is divisible by the number (64) 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 68139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636232).

68139264 is an abundant number, since it is smaller than the sum of its proper divisors (125133200).

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

68139264 is a wasteful number, since it uses less digits than its factorization.

68139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 68139264 is about 8254.6510525885. The cubic root of 68139264 is about 408.4439611772.

The spelling of 68139264 in words is "sixty-eight million, one hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 307 384 408 544 578 614 768 816 867 921 1088 1156 1228 1632 1734 1842 2176 2312 2456 3264 3468 3684 4352 4624 4912 5219 6528 6936 7368 9248 9824 10438 13056 13872 14736 15657 18496 19648 20876 27744 29472 31314 36992 39296 41752 55488 58944 62628 73984 78592 83504 88723 110976 117888 125256 167008 177446 221952 235776 250512 266169 334016 354892 501024 532338 668032 709784 1002048 1064676 1336064 1419568 2004096 2129352 2839136 4008192 4258704 5678272 8517408 11356544 17034816 22713088 34069632 68139264