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1312692480 = 28345111151
BaseRepresentation
bin100111000111110…
…0001100100000000
310101111001200120000
41032033201210000
510142022124410
6334131320000
744346462531
oct11617414400
93344050500
101312692480
11613a87320
12307750000
1317bc60218
14c64a6688
157a39adc0
hex4e3e1900

1312692480 has 360 divisors, whose sum is σ = 5128510464. Its totient is φ = 317952000.

The previous prime is 1312692473. The next prime is 1312692481. The reversal of 1312692480 is 842962131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312692481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139905 + ... + 1141055.

Almost surely, 21312692480 is an apocalyptic number.

1312692480 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 1312692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564255232).

1312692480 is an abundant number, since it is smaller than the sum of its proper divisors (3815817984).

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

1312692480 is a wasteful number, since it uses less digits than its factorization.

1312692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1312692480 is about 36231.0982444640. The cubic root of 1312692480 is about 1094.9333042507.

The spelling of 1312692480 in words is "one billion, three hundred twelve million, six hundred ninety-two thousand, four hundred eighty".