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1397160720 = 2432571151181
BaseRepresentation
bin101001101000110…
…1111101100010000
310121101000010012100
41103101233230100
510330133120340
6350350000400
746423445604
oct12321575420
93541003170
101397160720
1165772a58a
1232baa6100
131935c6327
14d37b3504
15829d3830
hex5346fb10

1397160720 has 240 divisors, whose sum is σ = 4816191744. Its totient is φ = 362880000.

The previous prime is 1397160703. The next prime is 1397160727. The reversal of 1397160720 is 270617931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1397160727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7719030 + ... + 7719210.

Almost surely, 21397160720 is an apocalyptic number.

1397160720 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 1397160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408095872).

1397160720 is an abundant number, since it is smaller than the sum of its proper divisors (3419031024).

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

1397160720 is a wasteful number, since it uses less digits than its factorization.

1397160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

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

The square root of 1397160720 is about 37378.6131363912. The cubic root of 1397160720 is about 1117.9321752286.

It can be divided in two parts, 13971 and 60720, that added together give a triangular number (74691 = T386).

The spelling of 1397160720 in words is "one billion, three hundred ninety-seven million, one hundred sixty thousand, seven hundred twenty".