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5630976 = 210321347
BaseRepresentation
bin10101011110110000000000
3101121002020200
4111132300000
52420142401
6320405200
765601561
oct25366000
911532220
105630976
1131a66aa
121a76800
131222050
14a68168
15763686
hex55ec00

5630976 has 132 divisors (see below), whose sum is σ = 17882592. Its totient is φ = 1695744.

The previous prime is 5630953. The next prime is 5630987. The reversal of 5630976 is 6790365.

It is a happy number.

5630976 is a `hidden beast` number, since 563 + 0 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5630976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119785 + ... + 119831.

Almost surely, 25630976 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 5630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941296).

5630976 is an abundant number, since it is smaller than the sum of its proper divisors (12251616).

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

5630976 is a wasteful number, since it uses less digits than its factorization.

5630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5630976 is about 2372.9677621072. The cubic root of 5630976 is about 177.9076236582.

The spelling of 5630976 in words is "five million, six hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 64 72 78 94 96 104 117 128 141 144 156 188 192 208 234 256 282 288 312 376 384 416 423 468 512 564 576 611 624 752 768 832 846 936 1024 1128 1152 1222 1248 1504 1536 1664 1692 1833 1872 2256 2304 2444 2496 3008 3072 3328 3384 3666 3744 4512 4608 4888 4992 5499 6016 6656 6768 7332 7488 9024 9216 9776 9984 10998 12032 13312 13536 14664 14976 18048 19552 19968 21996 24064 27072 29328 29952 36096 39104 39936 43992 48128 54144 58656 59904 72192 78208 87984 108288 117312 119808 144384 156416 175968 216576 234624 312832 351936 433152 469248 625664 703872 938496 1407744 1876992 2815488 5630976