Search a number
-
+
68956074 = 23211536571
BaseRepresentation
bin1000001110000…
…10111110101010
311210202022221200
410013002332222
5120123043244
610501545030
71465055055
oct407027652
9153668850
1068956074
1135a187a0
121b115176
1311394615
14922da9c
1560c1669
hex41c2faa

68956074 has 48 divisors (see below), whose sum is σ = 166087584. Its totient is φ = 20498400.

The previous prime is 68956057. The next prime is 68956099. The reversal of 68956074 is 47065986.

68956074 is a `hidden beast` number, since 6 + 89 + 560 + 7 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 7209 + ... + 13779.

It is an arithmetic number, because the mean of its divisors is an integer number (3460158).

Almost surely, 268956074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68956074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83043792).

68956074 is an abundant number, since it is smaller than the sum of its proper divisors (97131510).

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

68956074 is a wasteful number, since it uses less digits than its factorization.

68956074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68956074 is about 8303.9794074889. The cubic root of 68956074 is about 410.0695380764.

The spelling of 68956074 in words is "sixty-eight million, nine hundred fifty-six thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 6571 10494 13142 19713 39426 59139 72281 118278 144562 216843 348263 433686 650529 696526 1044789 1301058 2089578 3134367 3830893 6268734 7661786 11492679 22985358 34478037 68956074