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1312992940 = 225747383521
BaseRepresentation
bin100111001000010…
…1010111010101100
310101111121221201011
41032100222322230
510142111233230
6334141555004
744352153520
oct11620527254
93344557634
101312992940
11614172036
12307875a64
1317c036bcc
14c6543d80
157a409e2a
hex4e42aeac

1312992940 has 96 divisors (see below), whose sum is σ = 3232825344. Its totient is φ = 438597120.

The previous prime is 1312992937. The next prime is 1312992953. The reversal of 1312992940 is 492992131.

It is a junction number, because it is equal to n+sod(n) for n = 1312992893 and 1312992902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519880 + ... + 2520400.

It is an arithmetic number, because the mean of its divisors is an integer number (33675264).

Almost surely, 21312992940 is an apocalyptic number.

1312992940 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 1312992940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616412672).

1312992940 is an abundant number, since it is smaller than the sum of its proper divisors (1919832404).

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

1312992940 is a wasteful number, since it uses less digits than its factorization.

1312992940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 1312992940 is about 36235.2444451531. The cubic root of 1312992940 is about 1095.0168370325.

The spelling of 1312992940 in words is "one billion, three hundred twelve million, nine hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 383 470 521 658 766 940 1042 1316 1532 1645 1915 2084 2605 2681 3290 3647 3830 5210 5362 6580 7294 7660 10420 10724 13405 14588 18001 18235 24487 26810 36002 36470 48974 53620 72004 72940 90005 97948 122435 126007 171409 180010 199543 244870 252014 342818 360020 399086 489740 504028 630035 685636 798172 857045 997715 1260070 1396801 1714090 1995430 2520140 2793602 3428180 3990860 5587204 6984005 9378521 13968010 18757042 27936020 37514084 46892605 65649647 93785210 131299294 187570420 262598588 328248235 656496470 1312992940