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1316790720 = 26325733143
BaseRepresentation
bin100111001111100…
…1010000111000000
310101202202220021200
41032133022013000
510144044300340
6334355221200
744426352000
oct11637120700
93352686250
101316790720
116163263a3
12308ba7800
1317ca6670b
14c6c52000
157a90a330
hex4e7ca1c0

1316790720 has 672 divisors, whose sum is σ = 5579059200. Its totient is φ = 284497920.

The previous prime is 1316790703. The next prime is 1316790721. The reversal of 1316790720 is 270976131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 (1316790721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30623019 + ... + 30623061.

Almost surely, 21316790720 is an apocalyptic number.

1316790720 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 1316790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789529600).

1316790720 is an abundant number, since it is smaller than the sum of its proper divisors (4262268480).

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

1316790720 is a wasteful number, since it uses less digits than its factorization.

1316790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1316790720 is about 36287.6111090273. The cubic root of 1316790720 is about 1096.0715850024.

The spelling of 1316790720 in words is "one billion, three hundred sixteen million, seven hundred ninety thousand, seven hundred twenty".