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1312040520 = 2332572322637
BaseRepresentation
bin100111000110100…
…0010011001001000
310101102211120020100
41032031002121020
510141340244040
6334105325400
744341106010
oct11615023110
93342746210
101312040520
1161368150a
12307496860
1317ba9254b
14c6376c40
157a2bcb30
hex4e342648

1312040520 has 192 divisors, whose sum is σ = 5085400320. Its totient is φ = 286843392.

The previous prime is 1312040519. The next prime is 1312040537. The reversal of 1312040520 is 250402131.

It is a super-2 number, since 2×13120405202 = 3442900652243740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312040493 and 1312040502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46642 + ... + 69278.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 21312040520 is an apocalyptic number.

1312040520 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 1312040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542700160).

1312040520 is an abundant number, since it is smaller than the sum of its proper divisors (3773359800).

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

1312040520 is a wasteful number, since it uses less digits than its factorization.

1312040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684 (or 22677 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1312040520 is about 36222.0998839107. The cubic root of 1312040520 is about 1094.7520048880.

Adding to 1312040520 its reverse (250402131), we get a palindrome (1562442651).

The spelling of 1312040520 in words is "one billion, three hundred twelve million, forty thousand, five hundred twenty".