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1531313140 = 225759672767
BaseRepresentation
bin101101101000101…
…1111101111110100
310221201102202201111
41123101133233310
511114004010030
6411541204404
752642642540
oct13321375764
93851382644
101531313140
11716428255
12368a00704
131b5336b66
14107534a20
158e68262a
hex5b45fbf4

1531313140 has 96 divisors (see below), whose sum is σ = 3794595840. Its totient is φ = 508235904.

The previous prime is 1531313123. The next prime is 1531313149. The reversal of 1531313140 is 413131351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531313149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552037 + ... + 554803.

It is an arithmetic number, because the mean of its divisors is an integer number (39527040).

Almost surely, 21531313140 is an apocalyptic number.

1531313140 is a gapful number since it is divisible by the number (10) 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 1531313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897297920).

1531313140 is an abundant number, since it is smaller than the sum of its proper divisors (2263282700).

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

1531313140 is a wasteful number, since it uses less digits than its factorization.

1531313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1531313140 is about 39131.9963712561. The cubic root of 1531313140 is about 1152.6249151341.

Adding to 1531313140 its reverse (413131351), we get a palindrome (1944444491).

The spelling of 1531313140 in words is "one billion, five hundred thirty-one million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 67 70 118 134 140 236 268 295 335 413 469 590 670 826 938 1180 1340 1652 1876 2065 2345 2767 3953 4130 4690 5534 7906 8260 9380 11068 13835 15812 19369 19765 27670 27671 38738 39530 55340 55342 77476 79060 96845 110684 138355 163253 185389 193690 276710 326506 370778 387380 553420 653012 741556 816265 926945 1142771 1297723 1632530 1853890 2285542 2595446 3265060 3707780 4571084 5190892 5713855 6488615 10937951 11427710 12977230 21875902 22855420 25954460 43751804 54689755 76565657 109379510 153131314 218759020 306262628 382828285 765656570 1531313140