Search a number
-
+
68639360 = 275234663
BaseRepresentation
bin1000001011101…
…01101010000000
311210011020111112
410011311222000
5120032424420
610451102452
71462265516
oct405655200
9153136445
1068639360
1135821849
121aba1a28
13112b340a
14918a4b6
15605c8c5
hex4175a80

68639360 has 64 divisors (see below), whose sum is σ = 171262080. Its totient is φ = 26256384.

The previous prime is 68639327. The next prime is 68639369. The reversal of 68639360 is 6393686.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×686393602 = 9422723482419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68639369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12389 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (2675970).

Almost surely, 268639360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85631040).

68639360 is an abundant number, since it is smaller than the sum of its proper divisors (102622720).

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

68639360 is a wasteful number, since it uses less digits than its factorization.

68639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 68639360 is about 8284.8874464292. The cubic root of 68639360 is about 409.4407604477.

The spelling of 68639360 in words is "sixty-eight million, six hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 4663 7360 9326 14720 18652 23315 37304 46630 74608 93260 107249 149216 186520 214498 298432 373040 428996 536245 596864 746080 857992 1072490 1492160 1715984 2144980 2984320 3431968 4289960 6863936 8579920 13727872 17159840 34319680 68639360