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13056456 = 23372331109
BaseRepresentation
bin110001110011…
…100111001000
3220120100002110
4301303213020
511320301311
61143502320
7215656320
oct61634710
926510073
1013056456
117408566
1244579a0
132921b1a
141a3c280
15122d8a6
hexc739c8

13056456 has 128 divisors (see below), whose sum is σ = 40550400. Its totient is φ = 3421440.

The previous prime is 13056437. The next prime is 13056499. The reversal of 13056456 is 65465031.

13056456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119730 + ... + 119838.

It is an arithmetic number, because the mean of its divisors is an integer number (316800).

Almost surely, 213056456 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 13056456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275200).

13056456 is an abundant number, since it is smaller than the sum of its proper divisors (27493944).

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

13056456 is a wasteful number, since it uses less digits than its factorization.

13056456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 13056456 is about 3613.3718325132. The cubic root of 13056456 is about 235.4733540292.

The spelling of 13056456 in words is "thirteen million, fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 109 124 138 161 168 184 186 217 218 248 276 322 327 372 434 436 483 552 644 651 654 713 744 763 868 872 966 1288 1302 1308 1426 1526 1736 1932 2139 2289 2507 2604 2616 2852 3052 3379 3864 4278 4578 4991 5014 5208 5704 6104 6758 7521 8556 9156 9982 10028 10137 13516 14973 15042 17112 17549 18312 19964 20056 20274 23653 27032 29946 30084 35098 39928 40548 47306 52647 59892 60168 70196 70959 77717 81096 94612 105294 119784 140392 141918 155434 189224 210588 233151 283836 310868 421176 466302 544019 567672 621736 932604 1088038 1632057 1865208 2176076 3264114 4352152 6528228 13056456