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630901656 = 233372115419
BaseRepresentation
bin100101100110101…
…100101110011000
31121222011010101000
4211212230232120
52243002323111
6142334225000
721430401300
oct4546545630
91558133330
10630901656
112a4144830
12157355160
13a09280b8
145db0c600
153a5c3c56
hex259acb98

630901656 has 192 divisors, whose sum is σ = 2224368000. Its totient is φ = 163840320.

The previous prime is 630901619. The next prime is 630901673. The reversal of 630901656 is 656109036.

630901656 is a `hidden beast` number, since 630 + 9 + 0 + 16 + 5 + 6 = 666.

630901656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 630901656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113715 + ... + 119133.

It is an arithmetic number, because the mean of its divisors is an integer number (11585250).

Almost surely, 2630901656 is an apocalyptic number.

630901656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630901656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112184000).

630901656 is an abundant number, since it is smaller than the sum of its proper divisors (1593466344).

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

630901656 is a wasteful number, since it uses less digits than its factorization.

630901656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 630901656 is about 25117.7557914715. The cubic root of 630901656 is about 857.6706643513.

It can be divided in two parts, 63090 and 1656, that added together give a palindrome (64746).

The spelling of 630901656 in words is "six hundred thirty million, nine hundred one thousand, six hundred fifty-six".