Search a number
-
+
400869 = 3472101
BaseRepresentation
bin1100001110111100101
3202100220000
41201313211
5100311434
612331513
73256500
oct1416745
9670800
10400869
112541a7
12173b99
13110601
14a6137
157db99
hex61de5

400869 has 30 divisors (see below), whose sum is σ = 703494. Its totient is φ = 226800.

The previous prime is 400859. The next prime is 400871. The reversal of 400869 is 968004.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 3969 = 630^2 + 63^2 .

It is not a de Polignac number, because 400869 - 24 = 400853 is a prime.

It is a super-2 number, since 2×4008692 = 321391910322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

400869 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3919 + ... + 4019.

2400869 is an apocalyptic number.

400869 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

400869 is a deficient number, since it is larger than the sum of its proper divisors (302625).

400869 is a wasteful number, since it uses less digits than its factorization.

400869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 400869 is about 633.1421641306. The cubic root of 400869 is about 73.7339484362.

The spelling of 400869 in words is "four hundred thousand, eight hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 101 147 189 303 441 567 707 909 1323 2121 2727 3969 4949 6363 8181 14847 19089 44541 57267 133623 400869