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713856 = 27311132
BaseRepresentation
bin10101110010010000000
31100021020010
42232102000
5140320411
623144520
76032133
oct2562200
91307203
10713856
11448370
122a5140
131bcc00
1414821a
15e17a6
hexae480

713856 has 96 divisors (see below), whose sum is σ = 2239920. Its totient is φ = 199680.

The previous prime is 713833. The next prime is 713861. The reversal of 713856 is 658317.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

713856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54906 + ... + 54918.

2713856 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 713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119960).

713856 is an abundant number, since it is smaller than the sum of its proper divisors (1526064).

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

713856 is a wasteful number, since it uses less digits than its factorization.

713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 713856 is about 844.8999940821. The cubic root of 713856 is about 89.3724241682.

The spelling of 713856 in words is "seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 169 176 192 208 264 286 312 338 352 384 416 429 507 528 572 624 676 704 832 858 1014 1056 1144 1248 1352 1408 1664 1716 1859 2028 2112 2288 2496 2704 3432 3718 4056 4224 4576 4992 5408 5577 6864 7436 8112 9152 10816 11154 13728 14872 16224 18304 21632 22308 27456 29744 32448 44616 54912 59488 64896 89232 118976 178464 237952 356928 713856