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400105719 = 32133419707
BaseRepresentation
bin10111110110010…
…010000011110111
31000212212110212100
4113312102003313
51304411340334
6103411353143
712625561656
oct2766220367
91025773770
10400105719
11195938392
12b1bb27b3
1364b7a760
143b1d119d
15251d4c99
hex17d920f7

400105719 has 12 divisors (see below), whose sum is σ = 622386856. Its totient is φ = 246218832.

The previous prime is 400105711. The next prime is 400105729. The reversal of 400105719 is 917501004.

It is not a de Polignac number, because 400105719 - 23 = 400105711 is a prime.

It is a super-2 number, since 2×4001057192 = 320169172753013922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400105692 and 400105701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400105711) 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 11 ways as a sum of consecutive naturals, for example, 1709737 + ... + 1709970.

Almost surely, 2400105719 is an apocalyptic number.

400105719 is a deficient number, since it is larger than the sum of its proper divisors (222281137).

400105719 is a wasteful number, since it uses less digits than its factorization.

400105719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419726 (or 3419723 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 400105719 is about 20002.6428003902. The cubic root of 400105719 is about 736.8712060312.

The spelling of 400105719 in words is "four hundred million, one hundred five thousand, seven hundred nineteen".

Divisors: 1 3 9 13 39 117 3419707 10259121 30777363 44456191 133368573 400105719