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400141160 = 23510003529
BaseRepresentation
bin10111110110011…
…010101101101000
31000212221021110222
4113312122231220
51304414004120
6103412225212
712626100206
oct2766325550
91025837428
10400141160
11195961a81
12b200b208
1364b90923
143b200076
15251e0525
hex17d9ab68

400141160 has 16 divisors (see below), whose sum is σ = 900317700. Its totient is φ = 160056448.

The previous prime is 400141141. The next prime is 400141177. The reversal of 400141160 is 61141004.

It can be written as a sum of positive squares in 2 ways, for example, as 391485796 + 8655364 = 19786^2 + 2942^2 .

It is a super-2 number, since 2×4001411602 = 320225895852291200, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5001725 + ... + 5001804.

Almost surely, 2400141160 is an apocalyptic number.

400141160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400141160 is an abundant number, since it is smaller than the sum of its proper divisors (500176540).

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

400141160 is a wasteful number, since it uses less digits than its factorization.

400141160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003540 (or 10003536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 400141160 is about 20003.5286887089. The cubic root of 400141160 is about 736.8929625155.

Adding to 400141160 its reverse (61141004), we get a palindrome (461282164).

The spelling of 400141160 in words is "four hundred million, one hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 10003529 20007058 40014116 50017645 80028232 100035290 200070580 400141160