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1379911680 = 21133572331
BaseRepresentation
bin101001000111111…
…1100100000000000
310120011112202222000
41102033330200000
510311224133210
6344532144000
746124025060
oct12217744000
93504482860
101379911680
11648a19084
12326168000
1318cb670b4
14d13a33a0
1581227ac0
hex523fc800

1379911680 has 768 divisors, whose sum is σ = 6038323200. Its totient is φ = 291962880.

The previous prime is 1379911661. The next prime is 1379911691. The reversal of 1379911680 is 861199731.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 44513265 + ... + 44513295.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 21379911680 is an apocalyptic number.

1379911680 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 1379911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019161600).

1379911680 is an abundant number, since it is smaller than the sum of its proper divisors (4658411520).

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

1379911680 is a wasteful number, since it uses less digits than its factorization.

1379911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1379911680 is about 37147.1624757531. The cubic root of 1379911680 is about 1113.3125298402.

The spelling of 1379911680 in words is "one billion, three hundred seventy-nine million, nine hundred eleven thousand, six hundred eighty".