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630213696 = 263572827
BaseRepresentation
bin100101100100000…
…100110001000000
31121220212011200000
4211210010301000
52242313314241
6142311400000
721421504500
oct4544046100
91556764600
10630213696
112a3814972
12157083000
13a0746c18
145d9ada00
153a4d9eb6
hex25904c40

630213696 has 252 divisors, whose sum is σ = 2181776688. Its totient is φ = 179843328.

The previous prime is 630213691. The next prime is 630213709. The reversal of 630213696 is 696312036.

630213696 is a `hidden beast` number, since 630 + 2 + 13 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 630213696.

It is not an unprimeable number, because it can be changed into a prime (630213691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761635 + ... + 762461.

It is an arithmetic number, because the mean of its divisors is an integer number (8657844).

Almost surely, 2630213696 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 630213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090888344).

630213696 is an abundant number, since it is smaller than the sum of its proper divisors (1551562992).

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

630213696 is an equidigital number, since it uses as much as digits as its factorization.

630213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 630213696 is about 25104.0573613111. The cubic root of 630213696 is about 857.3588050183.

The spelling of 630213696 in words is "six hundred thirty million, two hundred thirteen thousand, six hundred ninety-six".