Search a number
-
+
713807136 = 25327523677
BaseRepresentation
bin101010100010111…
…101010100100000
31211202011011022100
4222202331110200
52430213312021
6154455210400
723455155240
oct5242752440
91752134270
10713807136
11336a1a959
1217b076a00
13b4b64ab3
146ab2db20
15429ed626
hex2a8bd520

713807136 has 144 divisors (see below), whose sum is σ = 2327742144. Its totient is φ = 203254272.

The previous prime is 713807077. The next prime is 713807153. The reversal of 713807136 is 631708317.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 713807136.

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, 1054030 + ... + 1054706.

It is an arithmetic number, because the mean of its divisors is an integer number (16164876).

Almost surely, 2713807136 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 713807136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163871072).

713807136 is an abundant number, since it is smaller than the sum of its proper divisors (1613935008).

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

713807136 is a wasteful number, since it uses less digits than its factorization.

713807136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 713807136 is about 26717.1693111377. The cubic root of 713807136 is about 893.7038491761.

The spelling of 713807136 in words is "seven hundred thirteen million, eight hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 523 672 677 1008 1046 1354 1569 2016 2031 2092 2708 3138 3661 4062 4184 4707 4739 5416 6093 6276 7322 8124 8368 9414 9478 10832 10983 12186 12552 14217 14644 16248 16736 18828 18956 21664 21966 24372 25104 28434 29288 32496 32949 37656 37912 42651 43932 48744 50208 56868 58576 64992 65898 75312 75824 85302 87864 97488 113736 117152 131796 150624 151648 170604 175728 194976 227472 263592 341208 351456 354071 454944 527184 682416 708142 1054368 1062213 1364832 1416284 2124426 2478497 2832568 3186639 4248852 4956994 5665136 6373278 7435491 8497704 9913988 11330272 12746556 14870982 16995408 19827976 22306473 25493112 29741964 33990816 39655952 44612946 50986224 59483928 79311904 89225892 101972448 118967856 178451784 237935712 356903568 713807136