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400104504 = 233223307787
BaseRepresentation
bin10111110110010…
…001110000111000
31000212212102012100
4113312101300320
51304411321004
6103411343400
712625555302
oct2766216070
91025772170
10400104504
11195937488
12b1bb1b60
1364b7a037
143b1d0972
15251d4739
hex17d91c38

400104504 has 96 divisors (see below), whose sum is σ = 1135854720. Its totient is φ = 126992448.

The previous prime is 400104493. The next prime is 400104517. The reversal of 400104504 is 405401004.

It is a super-3 number, since 3×4001045043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507999 + ... + 508785.

It is an arithmetic number, because the mean of its divisors is an integer number (11831820).

Almost surely, 2400104504 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 400104504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567927360).

400104504 is an abundant number, since it is smaller than the sum of its proper divisors (735750216).

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

400104504 is a wasteful number, since it uses less digits than its factorization.

400104504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400104504 is about 20002.6124293803. The cubic root of 400104504 is about 736.8704601455.

Adding to 400104504 its reverse (405401004), we get a palindrome (805505508).

The spelling of 400104504 in words is "four hundred million, one hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 307 414 552 614 787 828 921 1228 1574 1656 1842 2361 2456 2763 3148 3684 4722 5526 6296 7061 7083 7368 9444 11052 14122 14166 18101 18888 21183 22104 28244 28332 36202 42366 54303 56488 56664 63549 72404 84732 108606 127098 144808 162909 169464 217212 241609 254196 325818 434424 483218 508392 651636 724827 966436 1303272 1449654 1932872 2174481 2899308 4348962 5557007 5798616 8697924 11114014 16671021 17395848 22228028 33342042 44456056 50013063 66684084 100026126 133368168 200052252 400104504