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400135504 = 24291515711
BaseRepresentation
bin10111110110011…
…001010101010000
31000212220222201111
4113312121111100
51304413314004
6103412143104
712626044546
oct2766312520
91025828644
10400135504
111959587aa
12b2007a94
1364b8b192
143b1dbd96
15251dda04
hex17d99550

400135504 has 40 divisors (see below), whose sum is σ = 807448320. Its totient is φ = 191856000.

The previous prime is 400135493. The next prime is 400135517. The reversal of 400135504 is 405531004.

It is a super-2 number, since 2×4001355042 = 320216843122668032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67209 + ... + 72919.

It is an arithmetic number, because the mean of its divisors is an integer number (20186208).

Almost surely, 2400135504 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 400135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

400135504 is an abundant number, since it is smaller than the sum of its proper divisors (407312816).

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

400135504 is a wasteful number, since it uses less digits than its factorization.

400135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 400135504 is about 20003.3873131527. The cubic root of 400135504 is about 736.8894905022.

Adding to 400135504 its reverse (405531004), we get a palindrome (805666508).

The spelling of 400135504 in words is "four hundred million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 58 116 151 232 302 464 604 1208 2416 4379 5711 8758 11422 17516 22844 35032 45688 70064 91376 165619 331238 662476 862361 1324952 1724722 2649904 3449444 6898888 13797776 25008469 50016938 100033876 200067752 400135504