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1397279520 = 2532571310663
BaseRepresentation
bin101001101001000…
…1100101100100000
310121101020011011100
41103102030230200
510330200421040
6350352314400
746424452140
oct12322145440
93541204140
101397279520
1165780086a
1232bb42a00
13193638420
14d3804920
1582a08b30
hex5348cb20

1397279520 has 288 divisors, whose sum is σ = 5869124352. Its totient is φ = 294782976.

The previous prime is 1397279501. The next prime is 1397279531. The reversal of 1397279520 is 259727931.

1397279520 is a `hidden beast` number, since 13 + 97 + 27 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13972795202 = 3904780114022860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 125709 + ... + 136371.

It is an arithmetic number, because the mean of its divisors is an integer number (20378904).

Almost surely, 21397279520 is an apocalyptic number.

1397279520 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 1397279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934562176).

1397279520 is an abundant number, since it is smaller than the sum of its proper divisors (4471844832).

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

1397279520 is a wasteful number, since it uses less digits than its factorization.

1397279520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1397279520 is about 37380.2022466439. The cubic root of 1397279520 is about 1117.9638601012.

The spelling of 1397279520 in words is "one billion, three hundred ninety-seven million, two hundred seventy-nine thousand, five hundred twenty".