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1312174080 = 2123457113
BaseRepresentation
bin100111000110110…
…0011000000000000
310101110002100110000
41032031203000000
510141404032310
6334112240000
744342203260
oct11615430000
93343070400
101312174080
11613762898
12307540000
1317bb0b289
14c63ad7a0
157a2e74c0
hex4e363000

1312174080 has 520 divisors, whose sum is σ = 5423359392. Its totient is φ = 297271296.

The previous prime is 1312174069. The next prime is 1312174091. The reversal of 1312174080 is 804712131.

It is an interprime number because it is at equal distance from previous prime (1312174069) and next prime (1312174091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11612104 + ... + 11612216.

Almost surely, 21312174080 is an apocalyptic number.

1312174080 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 1312174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711679696).

1312174080 is an abundant number, since it is smaller than the sum of its proper divisors (4111185312).

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

1312174080 is an equidigital number, since it uses as much as digits as its factorization.

1312174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1312174080 is about 36223.9434628534. The cubic root of 1312174080 is about 1094.7891506200.

The spelling of 1312174080 in words is "one billion, three hundred twelve million, one hundred seventy-four thousand, eighty".