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1372917672 = 233272389149
BaseRepresentation
bin101000111010101…
…0000111110101000
310112200101102222200
41101311100332220
510302431331142
6344122220200
746010415300
oct12165207650
93480342880
101372917672
11644a81405
12323954660
1318b588829
14d04a2600
15807e564c
hex51d50fa8

1372917672 has 72 divisors (see below), whose sum is σ = 4325402250. Its totient is φ = 392261184.

The previous prime is 1372917661. The next prime is 1372917697. The reversal of 1372917672 is 2767192731.

It can be written as a sum of positive squares in only one way, i.e., 871784676 + 501132996 = 29526^2 + 22386^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191047 + ... + 198102.

Almost surely, 21372917672 is an apocalyptic number.

1372917672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1372917672 is an abundant number, since it is smaller than the sum of its proper divisors (2952484578).

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

1372917672 is a wasteful number, since it uses less digits than its factorization.

1372917672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389175 (or 389161 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 1372917672 is about 37052.9036918836. The cubic root of 1372917672 is about 1111.4284215548.

The spelling of 1372917672 in words is "one billion, three hundred seventy-two million, nine hundred seventeen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 389149 778298 1167447 1556596 2334894 2724043 3113192 3502341 4669788 5448086 7004682 8172129 9339576 10896172 14009364 16344258 19068301 21792344 24516387 28018728 32688516 38136602 49032774 57204903 65377032 76273204 98065548 114409806 152546408 171614709 196131096 228819612 343229418 457639224 686458836 1372917672