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405109364 = 221131436907
BaseRepresentation
bin11000001001010…
…111101001110100
31001020021200120112
4120021113221310
51312201444424
6104110522152
713016241602
oct3011275164
91036250515
10405109364
11198745730
12b3806358
1365c100aa
143bb34872
152587260e
hex18257a74

405109364 has 48 divisors (see below), whose sum is σ = 817022976. Its totient is φ = 174031200.

The previous prime is 405109363. The next prime is 405109379. The reversal of 405109364 is 463901504.

It is a super-2 number, since 2×4051093642 = 328227193600968992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405109364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405109361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55199 + ... + 62105.

It is an arithmetic number, because the mean of its divisors is an integer number (17021312).

Almost surely, 2405109364 is an apocalyptic number.

405109364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405109364 is an abundant number, since it is smaller than the sum of its proper divisors (411913612).

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

405109364 is a wasteful number, since it uses less digits than its factorization.

405109364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 405109364 is about 20127.3287845158. The cubic root of 405109364 is about 739.9302125568.

The spelling of 405109364 in words is "four hundred five million, one hundred nine thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 31 43 44 62 86 124 172 341 473 682 946 1333 1364 1892 2666 5332 6907 13814 14663 27628 29326 58652 75977 151954 214117 297001 303908 428234 594002 856468 1188004 2355287 3267011 4710574 6534022 9207031 9421148 13068044 18414062 36828124 101277341 202554682 405109364