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630623772 = 223317973541
BaseRepresentation
bin100101100101101…
…000111000011100
31121221122000012000
4211211220320130
52242414430042
6142324242300
721425133162
oct4545507034
91557560160
10630623772
112a3a74a79
12157240390
13a085b77c
145da79232
153a56b74c
hex25968e1c

630623772 has 96 divisors (see below), whose sum is σ = 1749464640. Its totient is φ = 195747840.

The previous prime is 630623771. The next prime is 630623779. The reversal of 630623772 is 277326036.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630623771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176322 + ... + 179862.

It is an arithmetic number, because the mean of its divisors is an integer number (18223590).

Almost surely, 2630623772 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 630623772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874732320).

630623772 is an abundant number, since it is smaller than the sum of its proper divisors (1118840868).

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

630623772 is a wasteful number, since it uses less digits than its factorization.

630623772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 630623772 is about 25112.2235574630. The cubic root of 630623772 is about 857.5447239860.

The spelling of 630623772 in words is "six hundred thirty million, six hundred twenty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 873 918 1164 1649 1746 1836 2619 3298 3492 3541 4947 5238 6596 7082 9894 10476 10623 14164 14841 19788 21246 29682 31869 42492 44523 59364 60197 63738 89046 95607 120394 127476 178092 180591 191214 240788 343477 361182 382428 541773 686954 722364 1030431 1083546 1373908 1625319 2060862 2167092 3091293 3250638 4121724 5839109 6182586 6501276 9273879 11678218 12365172 17517327 18547758 23356436 35034654 37095516 52551981 70069308 105103962 157655943 210207924 315311886 630623772