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68663640 = 2335797243
BaseRepresentation
bin1000001011110…
…11100101011000
311210012110210210
410011323211120
5120034214030
610451411120
71462426353
oct405734530
9153173723
1068663640
1135839011
121abb3aa0
13112c1496
14919529a
156064bb0
hex417b958

68663640 has 64 divisors (see below), whose sum is σ = 208627200. Its totient is φ = 18076032.

The previous prime is 68663627. The next prime is 68663657. The reversal of 68663640 is 4636686.

68663640 = T381 + T382 + ... + T775.

It is a congruent number.

It is an unprimeable number.

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, 5859 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (3259800).

Almost surely, 268663640 is an apocalyptic number.

68663640 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 68663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104313600).

68663640 is an abundant number, since it is smaller than the sum of its proper divisors (139963560).

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

68663640 is a wasteful number, since it uses less digits than its factorization.

68663640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 68663640 is about 8286.3526355086. The cubic root of 68663640 is about 409.4890323125.

The spelling of 68663640 in words is "sixty-eight million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 7243 9480 14486 21729 28972 36215 43458 57944 72430 86916 108645 144860 173832 217290 289720 434580 572197 869160 1144394 1716591 2288788 2860985 3433182 4577576 5721970 6866364 8582955 11443940 13732728 17165910 22887880 34331820 68663640