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1379429568 = 263311312341
BaseRepresentation
bin101001000111000…
…0110110011000000
310120010122021122000
41102032012303000
510311113221233
6344513544000
746116646356
oct12216066300
93503567560
101379429568
11648719940
12325b75000
1318ca2881a
14d12b97d6
158117ed13
hex52386cc0

1379429568 has 224 divisors, whose sum is σ = 4568586240. Its totient is φ = 404352000.

The previous prime is 1379429563. The next prime is 1379429587. The reversal of 1379429568 is 8659249731.

1379429568 is a `hidden beast` number, since 1 + 3 + 79 + 4 + 2 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1379429561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588078 + ... + 590418.

Almost surely, 21379429568 is an apocalyptic number.

1379429568 is a gapful number since it is divisible by the number (18) 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 1379429568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284293120).

1379429568 is an abundant number, since it is smaller than the sum of its proper divisors (3189156672).

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

1379429568 is a wasteful number, since it uses less digits than its factorization.

1379429568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2388 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1379429568 is about 37140.6726918078. The cubic root of 1379429568 is about 1113.1828587753.

The spelling of 1379429568 in words is "one billion, three hundred seventy-nine million, four hundred twenty-nine thousand, five hundred sixty-eight".