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400116 = 22333343
BaseRepresentation
bin1100001101011110100
3202022212010
41201223310
5100300431
612324220
73254343
oct1415364
9668763
10400116
11253682
12173670
13110172
14a5b5a
157d846
hex61af4

400116 has 12 divisors (see below), whose sum is σ = 933632. Its totient is φ = 133368.

The previous prime is 400109. The next prime is 400123. The reversal of 400116 is 611004.

400116 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (400109) and next prime (400123).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 33343 = 400116 / (4 + 0 + 0 + 1 + 1 + 6).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400116.

It is an unprimeable number.

400116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16660 + ... + 16683.

2400116 is an apocalyptic number.

It is an amenable number.

400116 is an abundant number, since it is smaller than the sum of its proper divisors (533516).

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

400116 is a wasteful number, since it uses less digits than its factorization.

400116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33350 (or 33348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 400116 is about 632.5472314381. The cubic root of 400116 is about 73.6877517453.

The spelling of 400116 in words is "four hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 33343 66686 100029 133372 200058 400116