Search a number
-
+
631197000 = 233253743233
BaseRepresentation
bin100101100111110…
…100110101001000
31121222201010111200
4211213310311020
52243041301000
6142344424200
721433041330
oct4547646510
91558633450
10631197000
112a4326715
12157478060
13a09cc665
145db880c0
153a631500
hex259f4d48

631197000 has 384 divisors, whose sum is σ = 2505634560. Its totient is φ = 140313600.

The previous prime is 631196987. The next prime is 631197013. The reversal of 631197000 is 791136.

631197000 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 (631196987) and next prime (631197013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2708884 + ... + 2709116.

It is an arithmetic number, because the mean of its divisors is an integer number (6525090).

Almost surely, 2631197000 is an apocalyptic number.

631197000 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 631197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252817280).

631197000 is an abundant number, since it is smaller than the sum of its proper divisors (1874437560).

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

631197000 is a wasteful number, since it uses less digits than its factorization.

631197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 631197000 is about 25123.6342912406. The cubic root of 631197000 is about 857.8044772658.

The spelling of 631197000 in words is "six hundred thirty-one million, one hundred ninety-seven thousand".