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631120272 = 243291313461
BaseRepresentation
bin100101100111100…
…010000110010000
31121222120020020220
4211213202012100
52243031322042
6142343033040
721432301536
oct4547420620
91558506226
10631120272
112a4284002
1215743b780
13a09a3763
145db68156
153a6188ec
hex259e2190

631120272 has 80 divisors (see below), whose sum is σ = 1699980480. Its totient is φ = 201510400.

The previous prime is 631120249. The next prime is 631120279. The reversal of 631120272 is 272021136.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (631120279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180622 + ... + 184082.

It is an arithmetic number, because the mean of its divisors is an integer number (21249756).

Almost surely, 2631120272 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 631120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849990240).

631120272 is an abundant number, since it is smaller than the sum of its proper divisors (1068860208).

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

631120272 is a wasteful number, since it uses less digits than its factorization.

631120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 631120272 is about 25122.1072364561. The cubic root of 631120272 is about 857.7697177591.

The spelling of 631120272 in words is "six hundred thirty-one million, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 131 174 232 262 348 393 464 524 696 786 1048 1392 1572 2096 3144 3461 3799 6288 6922 7598 10383 11397 13844 15196 20766 22794 27688 30392 41532 45588 55376 60784 83064 91176 100369 166128 182352 200738 301107 401476 453391 602214 802952 906782 1204428 1360173 1605904 1813564 2408856 2720346 3627128 4817712 5440692 7254256 10881384 13148339 21762768 26296678 39445017 52593356 78890034 105186712 157780068 210373424 315560136 631120272