Search a number
-
+
68996016 = 2433592707
BaseRepresentation
bin1000001110011…
…00101110110000
311210211100202000
410013030232300
5120130333031
610502454000
71465312365
oct407145660
9153740660
1068996016
1135a45801
121b134300
13113a985b
14924046c
1560cd3e6
hex41ccbb0

68996016 has 80 divisors (see below), whose sum is σ = 201475200. Its totient is φ = 22600512.

The previous prime is 68995999. The next prime is 68996027. The reversal of 68996016 is 61069986.

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, 24135 + ... + 26841.

It is an arithmetic number, because the mean of its divisors is an integer number (2518440).

Almost surely, 268996016 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 68996016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100737600).

68996016 is an abundant number, since it is smaller than the sum of its proper divisors (132479184).

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

68996016 is a wasteful number, since it uses less digits than its factorization.

68996016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 68996016 is about 8306.3840508370. The cubic root of 68996016 is about 410.1486987900.

The spelling of 68996016 in words is "sixty-eight million, nine hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2707 2832 3186 4248 5414 6372 8121 8496 10828 12744 16242 21656 24363 25488 32484 43312 48726 64968 73089 97452 129936 146178 159713 194904 292356 319426 389808 479139 584712 638852 958278 1169424 1277704 1437417 1916556 2555408 2874834 3833112 4312251 5749668 7666224 8624502 11499336 17249004 22998672 34498008 68996016