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400660 = 225132367
BaseRepresentation
bin1100001110100010100
3202100121021
41201310110
5100310120
612330524
73256051
oct1416424
9670537
10400660
11254027
12173a44
131104a0
14a6028
157daaa
hex61d14

400660 has 48 divisors (see below), whose sum is σ = 959616. Its totient is φ = 139392.

The previous prime is 400657. The next prime is 400679. The reversal of 400660 is 66004.

400660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

400660 is a modest number, since divided by 660 gives 40 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5947 + ... + 6013.

It is an arithmetic number, because the mean of its divisors is an integer number (19992).

2400660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479808).

400660 is an abundant number, since it is smaller than the sum of its proper divisors (558956).

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

400660 is a wasteful number, since it uses less digits than its factorization.

400660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 400660 is about 632.9770927925. The cubic root of 400660 is about 73.7211320513.

Adding to 400660 its reverse (66004), we get a palindrome (466664).

The spelling of 400660 in words is "four hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 67 92 115 130 134 230 260 268 299 335 460 598 670 871 1196 1340 1495 1541 1742 2990 3082 3484 4355 5980 6164 7705 8710 15410 17420 20033 30820 40066 80132 100165 200330 400660