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630621024 = 2531122332
BaseRepresentation
bin100101100101101…
…000001101100000
31121221121212102020
4211211220031200
52242414333044
6142324221440
721425122155
oct4545501540
91557555366
10630621024
112a3a72a00
1215723a880
13a085a447
145da7822c
153a56aa19
hex25968360

630621024 has 108 divisors (see below), whose sum is σ = 1827392868. Its totient is φ = 190277120.

The previous prime is 630621011. The next prime is 630621049. The reversal of 630621024 is 420126036.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 630620985 and 630621003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2706412 + ... + 2706644.

Almost surely, 2630621024 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 630621024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913696434).

630621024 is an abundant number, since it is smaller than the sum of its proper divisors (1196771844).

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

630621024 is a wasteful number, since it uses less digits than its factorization.

630621024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 630621024 is about 25112.1688430131. The cubic root of 630621024 is about 857.5434783747.

Multiplying 630621024 by its sum of digits (24), we get a square (15134904576 = 1230242).

630621024 divided by its sum of digits (24) gives a square (26275876 = 51262).

The spelling of 630621024 in words is "six hundred thirty million, six hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 233 242 264 352 363 466 484 528 699 726 932 968 1056 1398 1452 1864 1936 2563 2796 2904 3728 3872 5126 5592 5808 7456 7689 10252 11184 11616 15378 20504 22368 28193 30756 41008 54289 56386 61512 82016 84579 108578 112772 123024 162867 169158 217156 225544 246048 325734 338316 434312 451088 597179 651468 676632 868624 902176 1194358 1302936 1353264 1737248 1791537 2388716 2605872 2706528 3583074 4777432 5211744 6568969 7166148 9554864 13137938 14332296 19109728 19706907 26275876 28664592 39413814 52551752 57329184 78827628 105103504 157655256 210207008 315310512 630621024