Search a number
-
+
5606832 = 2437113741
BaseRepresentation
bin10101011000110110110000
3101112212010110
4111120312300
52413404312
6320101320
765441310
oct25306660
911485113
105606832
11318a550
121a64840
13121406a
14a5d440
1575b43c
hex558db0

5606832 has 160 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 1382400.

The previous prime is 5606807. The next prime is 5606833. The reversal of 5606832 is 2386065.

It is a self number, because there is not a number n which added to its sum of digits gives 5606832.

It is not an unprimeable number, because it can be changed into a prime (5606833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136732 + ... + 136772.

Almost surely, 25606832 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 5606832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

5606832 is an abundant number, since it is smaller than the sum of its proper divisors (13391952).

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

5606832 is a wasteful number, since it uses less digits than its factorization.

5606832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5606832 is about 2367.8749967006. The cubic root of 5606832 is about 177.6529871926.

The spelling of 5606832 in words is "five million, six hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 41 42 44 48 56 66 74 77 82 84 88 111 112 123 132 148 154 164 168 176 222 231 246 259 264 287 296 308 328 336 407 444 451 462 492 518 528 574 592 616 656 777 814 861 888 902 924 984 1036 1148 1221 1232 1353 1517 1554 1628 1722 1776 1804 1848 1968 2072 2296 2442 2706 2849 3034 3108 3157 3256 3444 3608 3696 4144 4551 4592 4884 5412 5698 6068 6216 6314 6512 6888 7216 8547 9102 9471 9768 10619 10824 11396 12136 12432 12628 13776 16687 17094 18204 18942 19536 21238 21648 22792 24272 25256 31857 33374 34188 36408 37884 42476 45584 50061 50512 63714 66748 68376 72816 75768 84952 100122 116809 127428 133496 136752 151536 169904 200244 233618 254856 266992 350427 400488 467236 509712 700854 800976 934472 1401708 1868944 2803416 5606832