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400371140 = 225132118453
BaseRepresentation
bin10111110111010…
…010110111000100
31000220100221221202
4113313102313010
51304443334030
6103421202032
712631045541
oct2767226704
91026327852
10400371140
11195aa9844
12b2100318
1364c41500
143b25dbc8
1525238745
hex17dd2dc4

400371140 has 36 divisors (see below), whose sum is σ = 910437444. Its totient is φ = 147828096.

The previous prime is 400371119. The next prime is 400371149. The reversal of 400371140 is 41173004.

It can be written as a sum of positive squares in 6 ways, for example, as 193989184 + 206381956 = 13928^2 + 14366^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (400371149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55847 + ... + 62606.

It is an arithmetic number, because the mean of its divisors is an integer number (25289929).

Almost surely, 2400371140 is an apocalyptic number.

It is an amenable number.

400371140 is an abundant number, since it is smaller than the sum of its proper divisors (510066304).

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

400371140 is a wasteful number, since it uses less digits than its factorization.

400371140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118488 (or 118473 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 400371140 is about 20009.2763487339. The cubic root of 400371140 is about 737.0341111927.

The spelling of 400371140 in words is "four hundred million, three hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 118453 236906 473812 592265 1184530 1539889 2369060 3079778 6159556 7699445 15398890 20018557 30797780 40037114 80074228 100092785 200185570 400371140