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5660424 = 23327111021
BaseRepresentation
bin10101100101111100001000
3101122120122100
4111211330020
52422113144
6321153400
766053460
oct25457410
911576570
105660424
113216840
121a8b860
131232583
14a74ba0
1576c269
hex565f08

5660424 has 96 divisors (see below), whose sum is σ = 19131840. Its totient is φ = 1468800.

The previous prime is 5660411. The next prime is 5660443. The reversal of 5660424 is 4240665.

It is a happy number.

5660424 is a `hidden beast` number, since 56 + 604 + 2 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5034 + ... + 6054.

It is an arithmetic number, because the mean of its divisors is an integer number (199290).

Almost surely, 25660424 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 5660424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565920).

5660424 is an abundant number, since it is smaller than the sum of its proper divisors (13471416).

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

5660424 is a wasteful number, since it uses less digits than its factorization.

5660424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5660424 is about 2379.1645592518. The cubic root of 5660424 is about 178.2172157787.

It can be divided in two parts, 5660 and 424, that added together give a square (6084 = 782).

The spelling of 5660424 in words is "five million, six hundred sixty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1021 1386 1848 2042 2772 3063 4084 5544 6126 7147 8168 9189 11231 12252 14294 18378 21441 22462 24504 28588 33693 36756 42882 44924 57176 64323 67386 73512 78617 85764 89848 101079 128646 134772 157234 171528 202158 235851 257292 269544 314468 404316 471702 514584 628936 707553 808632 943404 1415106 1886808 2830212 5660424