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400105512 = 23328096869
BaseRepresentation
bin10111110110010…
…010000000101000
31000212212110120200
4113312102000220
51304411334022
6103411352200
712625561242
oct2766220050
91025773520
10400105512
11195938214
12b1bb2660
1364b7a631
143b1d1092
15251d4bac
hex17d92028

400105512 has 48 divisors (see below), whose sum is σ = 1085116500. Its totient is φ = 133184256.

The previous prime is 400105471. The next prime is 400105513. The reversal of 400105512 is 215501004.

It can be written as a sum of positive squares in 2 ways, for example, as 394657956 + 5447556 = 19866^2 + 2334^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400105513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54814 + ... + 61682.

Almost surely, 2400105512 is an apocalyptic number.

It is an amenable number.

400105512 is an abundant number, since it is smaller than the sum of its proper divisors (685010988).

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

400105512 is a wasteful number, since it uses less digits than its factorization.

400105512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 400105512 is about 20002.6376260732. The cubic root of 400105512 is about 736.8710789545.

Adding to 400105512 its reverse (215501004), we get a palindrome (615606516).

The spelling of 400105512 in words is "four hundred million, one hundred five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 809 1618 2427 3236 4854 6472 6869 7281 9708 13738 14562 19416 20607 27476 29124 41214 54952 58248 61821 82428 123642 164856 247284 494568 5557021 11114042 16671063 22228084 33342126 44456168 50013189 66684252 100026378 133368504 200052756 400105512