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630210816 = 28325232
BaseRepresentation
bin100101100100000…
…100000100000000
31121220212000201100
4211210010010000
52242313221231
6142311334400
721421463214
oct4544040400
91556760640
10630210816
112a3812794
12157081400
13a0745811
145d9ac944
153a4d91e6
hex25904100

630210816 has 81 divisors (see below), whose sum is σ = 1820534079. Its totient is φ = 209668608.

The previous prime is 630210799. The next prime is 630210851. The reversal of 630210816 is 618012036.

The square root of 630210816 is 25104.

It is a perfect power (a square), and thus also a powerful number.

630210816 is a `hidden beast` number, since 630 + 2 + 10 + 8 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 630210816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1204731 + ... + 1205253.

Almost surely, 2630210816 is an apocalyptic number.

630210816 is the 25104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630210816

630210816 is an abundant number, since it is smaller than the sum of its proper divisors (1190323263).

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

630210816 is an frugal number, since it uses more digits than its factorization.

630210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 630210816 is about 857.3574990078.

The spelling of 630210816 in words is "six hundred thirty million, two hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 523 576 768 1046 1152 1569 2092 2304 3138 4184 4707 6276 8368 9414 12552 16736 18828 25104 33472 37656 50208 66944 75312 100416 133888 150624 200832 273529 301248 401664 547058 602496 820587 1094116 1204992 1641174 2188232 2461761 3282348 4376464 4923522 6564696 8752928 9847044 13129392 17505856 19694088 26258784 35011712 39388176 52517568 70023424 78776352 105035136 157552704 210070272 315105408 630210816