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1372607361 = 32401380329
BaseRepresentation
bin101000111010000…
…0101001110000001
310112122210200022200
41101310011032001
510302341413421
6344111423413
746004653506
oct12164051601
93478720280
101372607361
1164488a254
12323824b69
1318b4aa508
14d04214ad
1580783726
hex51d05381

1372607361 has 12 divisors (see below), whose sum is σ = 1987604580. Its totient is φ = 912787200.

The previous prime is 1372607321. The next prime is 1372607377. The reversal of 1372607361 is 1637062731.

1372607361 is a `hidden beast` number, since 1 + 37 + 260 + 7 + 361 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1042967025 + 329640336 = 32295^2 + 18156^2 .

It is not a de Polignac number, because 1372607361 - 29 = 1372606849 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1372607311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186556 + ... + 193773.

It is an arithmetic number, because the mean of its divisors is an integer number (165633715).

Almost surely, 21372607361 is an apocalyptic number.

It is an amenable number.

1372607361 is a deficient number, since it is larger than the sum of its proper divisors (614997219).

1372607361 is a wasteful number, since it uses less digits than its factorization.

1372607361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380736 (or 380733 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1372607361 is about 37048.7160506272. The cubic root of 1372607361 is about 1111.3446791087.

The spelling of 1372607361 in words is "one billion, three hundred seventy-two million, six hundred seven thousand, three hundred sixty-one".

Divisors: 1 3 9 401 1203 3609 380329 1140987 3422961 152511929 457535787 1372607361