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2040405379 = 97239283311
BaseRepresentation
bin111100110011110…
…0001110110000011
312021012101022222121
41321213201312003
513134320433004
6534244545111
7101364105505
oct17147416603
95235338877
102040405379
11957834841
1248b3b2197
1326695357c
14154db5d75
15be1e4854
hex799e1d83

2040405379 has 16 divisors (see below), whose sum is σ = 2084060160. Its totient is φ = 1997372160.

The previous prime is 2040405377. The next prime is 2040405391. The reversal of 2040405379 is 9735040402.

It is a cyclic number.

It is not a de Polignac number, because 2040405379 - 21 = 2040405377 is a prime.

It is a super-2 number, since 2×20404053792 = 8326508221304267282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2040405373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6560634 + ... + 6560944.

It is an arithmetic number, because the mean of its divisors is an integer number (130253760).

Almost surely, 22040405379 is an apocalyptic number.

2040405379 is a deficient number, since it is larger than the sum of its proper divisors (43654781).

2040405379 is a wasteful number, since it uses less digits than its factorization.

2040405379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2040405379 is about 45170.8465605860. The cubic root of 2040405379 is about 1268.3491433651.

The spelling of 2040405379 in words is "two billion, forty million, four hundred five thousand, three hundred seventy-nine".

Divisors: 1 97 239 283 311 23183 27451 30167 67637 74329 88013 6560789 7209913 8537261 21035107 2040405379