Search a number
-
+
1379696640 = 215357401
BaseRepresentation
bin101001000111100…
…1000000000000000
310120011010211222120
41102033020000000
510311200243030
6344523404240
746122141120
oct12217100000
93504124876
101379696640
11648891563
12326083680
1318cac025a
14d1348c80
15811d4010
hex523c8000

1379696640 has 256 divisors, whose sum is σ = 5058253440. Its totient is φ = 314572800.

The previous prime is 1379696623. The next prime is 1379696677. The reversal of 1379696640 is 466969731.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440440 + ... + 3440840.

Almost surely, 21379696640 is an apocalyptic number.

1379696640 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 1379696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529126720).

1379696640 is an abundant number, since it is smaller than the sum of its proper divisors (3678556800).

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

1379696640 is an frugal number, since it uses more digits than its factorization.

1379696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 1379696640 is about 37144.2679292512. The cubic root of 1379696640 is about 1113.2546954230.

The spelling of 1379696640 in words is "one billion, three hundred seventy-nine million, six hundred ninety-six thousand, six hundred forty".