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5713632 = 253317389
BaseRepresentation
bin10101110010111011100000
3101202021122000
4111302323200
52430314012
6322244000
766364551
oct25627340
911667560
105713632
113252811
121ab6600
131250862
14a8a328
1577cddc
hex572ee0

5713632 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1787904.

The previous prime is 5713613. The next prime is 5713633. The reversal of 5713632 is 2363175.

It is a happy number.

5713632 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5713596 and 5713605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14494 + ... + 14882.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 25713632 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 5713632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5713632 is an abundant number, since it is smaller than the sum of its proper divisors (11976768).

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

5713632 is a wasteful number, since it uses less digits than its factorization.

5713632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5713632 is about 2390.3204806051. The cubic root of 5713632 is about 178.7738892550.

It can be divided in two parts, 57 and 13632, that added together give a square (13689 = 1172).

The spelling of 5713632 in words is "five million, seven hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 389 408 432 459 544 612 778 816 864 918 1167 1224 1556 1632 1836 2334 2448 3112 3501 3672 4668 4896 6224 6613 7002 7344 9336 10503 12448 13226 14004 14688 18672 19839 21006 26452 28008 37344 39678 42012 52904 56016 59517 79356 84024 105808 112032 119034 158712 168048 178551 211616 238068 317424 336096 357102 476136 634848 714204 952272 1428408 1904544 2856816 5713632