Search a number
-
+
631075536 = 24347135351
BaseRepresentation
bin100101100111010…
…111001011010000
31121222110221220000
4211213113023100
52243023404121
6142342050000
721432024240
oct4547271320
91558427800
10631075536
112a4253433
12157419900
13a09892a0
145db55b20
153a60a526
hex259d72d0

631075536 has 200 divisors, whose sum is σ = 2248439424. Its totient is φ = 166406400.

The previous prime is 631075493. The next prime is 631075537. The reversal of 631075536 is 635570136.

It is a happy number.

631075536 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 a self number, because there is not a number n which added to its sum of digits gives 631075536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631075537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115261 + ... + 120611.

Almost surely, 2631075536 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 631075536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124219712).

631075536 is an abundant number, since it is smaller than the sum of its proper divisors (1617363888).

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

631075536 is a wasteful number, since it uses less digits than its factorization.

631075536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 631075536 is about 25121.2168495079. The cubic root of 631075536 is about 857.7494500465.

The spelling of 631075536 in words is "six hundred thirty-one million, seventy-five thousand, five hundred thirty-six".