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630502272 = 2733241757
BaseRepresentation
bin100101100101001…
…011001110000000
31121221101211112000
4211211023032000
52242402033042
6142321504000
721424116021
oct4545131600
91557354460
10630502272
112a39a1764
121571a2000
13a081838a
145da46c48
153a54574c
hex2594b380

630502272 has 128 divisors (see below), whose sum is σ = 1871047200. Its totient is φ = 209018880.

The previous prime is 630502267. The next prime is 630502333. The reversal of 630502272 is 272205036.

630502272 is a `hidden beast` number, since 630 + 5 + 0 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6305022722 = 795066229994323968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832518 + ... + 833274.

Almost surely, 2630502272 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 630502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935523600).

630502272 is an abundant number, since it is smaller than the sum of its proper divisors (1240544928).

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

630502272 is a wasteful number, since it uses less digits than its factorization.

630502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 630502272 is about 25109.8043003127. The cubic root of 630502272 is about 857.4896471025.

The spelling of 630502272 in words is "six hundred thirty million, five hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 241 288 384 432 482 576 723 757 864 964 1152 1446 1514 1728 1928 2169 2271 2892 3028 3456 3856 4338 4542 5784 6056 6507 6813 7712 8676 9084 11568 12112 13014 13626 15424 17352 18168 20439 23136 24224 26028 27252 30848 34704 36336 40878 46272 48448 52056 54504 69408 72672 81756 92544 96896 104112 109008 138816 145344 163512 182437 208224 218016 277632 290688 327024 364874 416448 436032 547311 654048 729748 832896 872064 1094622 1308096 1459496 1641933 2189244 2616192 2918992 3283866 4378488 4925799 5837984 6567732 8756976 9851598 11675968 13135464 17513952 19703196 23351936 26270928 35027904 39406392 52541856 70055808 78812784 105083712 157625568 210167424 315251136 630502272