Search a number
-
+
400914 = 23222273
BaseRepresentation
bin1100001111000010010
3202100221200
41201320102
5100312124
612332030
73256563
oct1417022
9670850
10400914
11254238
12174016
13110637
14a616a
157dbc9
hex61e12

400914 has 12 divisors (see below), whose sum is σ = 868686. Its totient is φ = 133632.

The previous prime is 400903. The next prime is 400927. The reversal of 400914 is 419004.

400914 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 225 = 633^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 22273 = 400914 / (4 + 0 + 0 + 9 + 1 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400914.

It is an unprimeable number.

400914 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 5 ways as a sum of consecutive naturals, for example, 11119 + ... + 11154.

2400914 is an apocalyptic number.

400914 is an abundant number, since it is smaller than the sum of its proper divisors (467772).

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

400914 is a wasteful number, since it uses less digits than its factorization.

400914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22281 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 400914 is about 633.1777001759. The cubic root of 400914 is about 73.7367073620.

Adding to 400914 its reverse (419004), we get a palindrome (819918).

The spelling of 400914 in words is "four hundred thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 22273 44546 66819 133638 200457 400914