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5993664 = 263193153
BaseRepresentation
bin10110110111010011000000
3102021111202120
4112313103000
53013244124
6332244240
7101642145
oct26672300
912244676
105993664
113424146
122010680
13131b161
14b203cc
157d5d79
hex5b74c0

5993664 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 1797120.

The previous prime is 5993653. The next prime is 5993671. The reversal of 5993664 is 4663995.

Its product of digits (174960) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 113062 + ... + 113114.

Almost surely, 25993664 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 5993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

5993664 is an abundant number, since it is smaller than the sum of its proper divisors (11562816).

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

5993664 is a wasteful number, since it uses less digits than its factorization.

5993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 5993664 is about 2448.1960705793. The cubic root of 5993664 is about 181.6480741103.

The spelling of 5993664 in words is "five million, nine hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 53 57 62 64 76 93 96 106 114 124 152 159 186 192 212 228 248 304 318 372 424 456 496 589 608 636 744 848 912 992 1007 1178 1216 1272 1488 1643 1696 1767 1824 1984 2014 2356 2544 2976 3021 3286 3392 3534 3648 4028 4712 4929 5088 5952 6042 6572 7068 8056 9424 9858 10176 12084 13144 14136 16112 18848 19716 24168 26288 28272 31217 32224 37696 39432 48336 52576 56544 62434 64448 78864 93651 96672 105152 113088 124868 157728 187302 193344 249736 315456 374604 499472 749208 998944 1498416 1997888 2996832 5993664