Search a number
-
+
630743040 = 2133252959
BaseRepresentation
bin100101100110000…
…110000000000000
31121221212001210100
4211212012000000
52242432234130
6142331002400
721426140664
oct4546060000
91557761710
10630743040
112a4046644
12157299400
13a08a0b45
145daaa8a4
153a591c60
hex25986000

630743040 has 336 divisors, whose sum is σ = 2300173200. Its totient is φ = 159645696.

The previous prime is 630742999. The next prime is 630743059. The reversal of 630743040 is 40347036.

It is a junction number, because it is equal to n+sod(n) for n = 630742995 and 630743013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10690531 + ... + 10690589.

Almost surely, 2630743040 is an apocalyptic number.

630743040 is a gapful number since it is divisible by the number (60) 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 630743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150086600).

630743040 is an abundant number, since it is smaller than the sum of its proper divisors (1669430160).

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

630743040 is a wasteful number, since it uses less digits than its factorization.

630743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 630743040 is about 25114.5981453019. The cubic root of 630743040 is about 857.5987822066.

The spelling of 630743040 in words is "six hundred thirty million, seven hundred forty-three thousand, forty".