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2531363140 = 225372591567
BaseRepresentation
bin1001011011100001…
…1000100101000100
320112102012120102101
42112320120211010
520141012110030
61055103521444
7116505142315
oct22670304504
96472176371
102531363140
111089985659
125a78b9284
13314590a17
141a029660c
15ec3737ca
hex96e18944

2531363140 has 72 divisors (see below), whose sum is σ = 5559563520. Its totient is φ = 967863168.

The previous prime is 2531363129. The next prime is 2531363143. The reversal of 2531363140 is 413631352.

It is a junction number, because it is equal to n+sod(n) for n = 2531363099 and 2531363108.

It is not an unprimeable number, because it can be changed into a prime (2531363143) 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 23 ways as a sum of consecutive naturals, for example, 1614637 + ... + 1616203.

It is an arithmetic number, because the mean of its divisors is an integer number (77216160).

Almost surely, 22531363140 is an apocalyptic number.

2531363140 is a gapful number since it is divisible by the number (20) 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 2531363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779781760).

2531363140 is an abundant number, since it is smaller than the sum of its proper divisors (3028200380).

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

2531363140 is a wasteful number, since it uses less digits than its factorization.

2531363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 2531363140 is about 50312.6538755411. The cubic root of 2531363140 is about 1362.8607494104.

Adding to 2531363140 its reverse (413631352), we get a palindrome (2944994492).

The spelling of 2531363140 in words is "two billion, five hundred thirty-one million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 59 74 118 148 185 236 295 370 590 740 1180 1369 1567 2183 2738 3134 4366 5476 6268 6845 7835 8732 10915 13690 15670 21830 27380 31340 43660 57979 80771 92453 115958 161542 184906 231916 289895 323084 369812 403855 462265 579790 807710 924530 1159580 1615420 1849060 2145223 3420761 4290446 6841522 8580892 10726115 13683044 17103805 21452230 34207610 42904460 68415220 126568157 253136314 506272628 632840785 1265681570 2531363140