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400132240 = 2455001653
BaseRepresentation
bin10111110110011…
…000100010010000
31000212220211020121
4113312120202100
51304413212430
6103412120024
712626032204
oct2766304220
91025824217
10400132240
11195956302
12b2006014
1364b89851
143b1dab04
15251dca7a
hex17d98890

400132240 has 20 divisors (see below), whose sum is σ = 930307644. Its totient is φ = 160052864.

The previous prime is 400132223. The next prime is 400132253. The reversal of 400132240 is 42231004.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 347598736 = 7248^2 + 18644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500747 + ... + 2500906.

Almost surely, 2400132240 is an apocalyptic number.

400132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400132240 is an abundant number, since it is smaller than the sum of its proper divisors (530175404).

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

400132240 is a wasteful number, since it uses less digits than its factorization.

400132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001666 (or 5001660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400132240 is about 20003.3057268043. The cubic root of 400132240 is about 736.8874868361.

Adding to 400132240 its reverse (42231004), we get a palindrome (442363244).

The spelling of 400132240 in words is "four hundred million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5001653 10003306 20006612 25008265 40013224 50016530 80026448 100033060 200066120 400132240