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64307712 = 29375981
BaseRepresentation
bin1111010101010…
…0001000000000
311111000011121010
43311110020000
5112430321322
610214200520
71410415020
oct365241000
9144004533
1064307712
1133333377
1219653140
1310427901
14877da80
1559a420c
hex3d54200

64307712 has 80 divisors (see below), whose sum is σ = 195826752. Its totient is φ = 18370560.

The previous prime is 64307689. The next prime is 64307713. The reversal of 64307712 is 21770346.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 64307712.

It is not an unprimeable number, because it can be changed into a prime (64307713) 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, 7762 + ... + 13742.

Almost surely, 264307712 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 64307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913376).

64307712 is an abundant number, since it is smaller than the sum of its proper divisors (131519040).

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

64307712 is an equidigital number, since it uses as much as digits as its factorization.

64307712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 64307712 is about 8019.2089385425. The cubic root of 64307712 is about 400.6400419861.

The spelling of 64307712 in words is "sixty-four million, three hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 5981 10752 11962 17943 23924 35886 41867 47848 71772 83734 95696 125601 143544 167468 191392 251202 287088 334936 382784 502404 574176 669872 765568 1004808 1148352 1339744 1531136 2009616 2296704 2679488 3062272 4019232 4593408 5358976 8038464 9186816 10717952 16076928 21435904 32153856 64307712