Search a number
-
+
631362960 = 24325876893
BaseRepresentation
bin100101101000011…
…101010110010000
31122000000120011100
4211220131112100
52243112103320
6142352144400
721434332224
oct4550352620
91560016140
10631362960
112a442a378
12157538100
13a0a5a067
145dbcc784
153a665790
hex25a1d590

631362960 has 60 divisors (see below), whose sum is σ = 2120329692. Its totient is φ = 168363264.

The previous prime is 631362959. The next prime is 631362961. The reversal of 631362960 is 69263136.

It is an interprime number because it is at equal distance from previous prime (631362959) and next prime (631362961).

It can be written as a sum of positive squares in 2 ways, for example, as 410305536 + 221057424 = 20256^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (631362961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437727 + ... + 439166.

Almost surely, 2631362960 is an apocalyptic number.

631362960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631362960 is an abundant number, since it is smaller than the sum of its proper divisors (1488966732).

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

631362960 is a wasteful number, since it uses less digits than its factorization.

631362960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876912 (or 876903 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 631362960 is about 25126.9369402639. The cubic root of 631362960 is about 857.8796512373.

The spelling of 631362960 in words is "six hundred thirty-one million, three hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 876893 1753786 2630679 3507572 4384465 5261358 7015144 7892037 8768930 10522716 13153395 14030288 15784074 17537860 21045432 26306790 31568148 35075720 39460185 42090864 52613580 63136296 70151440 78920370 105227160 126272592 157840740 210454320 315681480 631362960