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1397620512 = 25324852849
BaseRepresentation
bin101001101001101…
…1111111100100000
310121101212110220200
41103103133330200
510330242324022
6350403505200
746430402241
oct12323377440
93541773820
101397620512
11657a13a82
12330088200
131937276b2
14d3892cc8
1582a74bac
hex534dff20

1397620512 has 36 divisors (see below), whose sum is σ = 3974484150. Its totient is φ = 465873408.

The previous prime is 1397620481. The next prime is 1397620531. The reversal of 1397620512 is 2150267931.

1397620512 is a `hidden beast` number, since 13 + 9 + 7 + 620 + 5 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1354534416 + 43086096 = 36804^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2426137 + ... + 2426712.

Almost surely, 21397620512 is an apocalyptic number.

1397620512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1397620512 is an abundant number, since it is smaller than the sum of its proper divisors (2576863638).

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

1397620512 is a wasteful number, since it uses less digits than its factorization.

1397620512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852865 (or 4852854 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1397620512 is about 37384.7630994233. The cubic root of 1397620512 is about 1118.0547953127.

The spelling of 1397620512 in words is "one billion, three hundred ninety-seven million, six hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4852849 9705698 14558547 19411396 29117094 38822792 43675641 58234188 77645584 87351282 116468376 155291168 174702564 232936752 349405128 465873504 698810256 1397620512