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631060416 = 26337229257
BaseRepresentation
bin100101100111010…
…011011111000000
31121222110012011000
4211213103133000
52243022413131
6142341452000
721431632200
oct4547233700
91558405130
10631060416
112a4243038
12157411000
13a098243c
145db50400
153a605ce6
hex259d37c0

631060416 has 336 divisors, whose sum is σ = 2241194400. Its totient is φ = 173408256.

The previous prime is 631060411. The next prime is 631060421. The reversal of 631060416 is 614060136.

631060416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (631060411) and next prime (631060421).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 631060416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631060411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455360 + ... + 2455616.

Almost surely, 2631060416 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 631060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120597200).

631060416 is an abundant number, since it is smaller than the sum of its proper divisors (1610133984).

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

631060416 is a wasteful number, since it uses less digits than its factorization.

631060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 631060416 is about 25120.9159068693. The cubic root of 631060416 is about 857.7425996911.

The spelling of 631060416 in words is "six hundred thirty-one million, sixty thousand, four hundred sixteen".