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1312004540 = 225711978783
BaseRepresentation
bin100111000110011…
…1001100110111100
310101102202201212202
41032030321212330
510141333121130
6334104451032
744340566060
oct11614714674
93342681782
101312004540
11613657480
12307479a78
1317ba7c062
14c6367aa0
157a2b2145
hex4e3399bc

1312004540 has 96 divisors (see below), whose sum is σ = 3470874624. Its totient is φ = 404674560.

The previous prime is 1312004521. The next prime is 1312004579. The reversal of 1312004540 is 454002131.

It is a super-2 number, since 2×13120045402 = 3442711825961223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144989 + ... + 153771.

It is an arithmetic number, because the mean of its divisors is an integer number (36154944).

Almost surely, 21312004540 is an apocalyptic number.

1312004540 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 1312004540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735437312).

1312004540 is an abundant number, since it is smaller than the sum of its proper divisors (2158870084).

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

1312004540 is a wasteful number, since it uses less digits than its factorization.

1312004540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1312004540 is about 36221.6032223865. The cubic root of 1312004540 is about 1094.7419976927.

Adding to 1312004540 its reverse (454002131), we get a palindrome (1766006671).

The spelling of 1312004540 in words is "one billion, three hundred twelve million, four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 97 110 140 154 194 220 308 385 388 485 679 770 970 1067 1358 1540 1940 2134 2716 3395 4268 5335 6790 7469 8783 10670 13580 14938 17566 21340 29876 35132 37345 43915 61481 74690 87830 96613 122962 149380 175660 193226 245924 307405 386452 483065 614810 676291 851951 966130 1229620 1352582 1703902 1932260 2705164 3381455 3407804 4259755 5963657 6762910 8519510 9371461 11927314 13525820 17039020 18742922 23854628 29818285 37485844 46857305 59636570 65600227 93714610 119273140 131200454 187429220 262400908 328001135 656002270 1312004540