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400260 = 22357953
BaseRepresentation
bin1100001101110000100
3202100001110
41201232010
5100302020
612325020
73254640
oct1415604
9670043
10400260
112537a3
12173770
13110253
14a5c20
157d8e0
hex61b84

400260 has 48 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 91392.

The previous prime is 400249. The next prime is 400261. The reversal of 400260 is 62004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400260.

It is not an unprimeable number, because it can be changed into a prime (400261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2400260 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 400260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641088).

400260 is an abundant number, since it is smaller than the sum of its proper divisors (881916).

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

400260 is a wasteful number, since it uses less digits than its factorization.

400260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400260 is about 632.6610466909. The cubic root of 400260 is about 73.6965906517.

Adding to 400260 its reverse (62004), we get a palindrome (462264).

The spelling of 400260 in words is "four hundred thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 953 1906 2859 3812 4765 5718 6671 9530 11436 13342 14295 19060 20013 26684 28590 33355 40026 57180 66710 80052 100065 133420 200130 400260