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400135104 = 26323122409
BaseRepresentation
bin10111110110011…
…001001111000000
31000212220222011200
4113312121033000
51304413310404
6103412141200
712626043435
oct2766311700
91025828150
10400135104
11195958476
12b2007800
1364b8ac45
143b1dbb8c
15251dd839
hex17d993c0

400135104 has 84 divisors (see below), whose sum is σ = 1183965120. Its totient is φ = 129070080.

The previous prime is 400135097. The next prime is 400135123. The reversal of 400135104 is 401531004.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 6652 + ... + 29060.

Almost surely, 2400135104 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 400135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591982560).

400135104 is an abundant number, since it is smaller than the sum of its proper divisors (783830016).

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

400135104 is a wasteful number, since it uses less digits than its factorization.

400135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22458 (or 22445 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 400135104 is about 20003.3773148436. The cubic root of 400135104 is about 736.8892449555.

Adding to 400135104 its reverse (401531004), we get a palindrome (801666108).

The spelling of 400135104 in words is "four hundred million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 22409 44818 67227 89636 134454 179272 201681 268908 358544 403362 537816 694679 717088 806724 1075632 1389358 1434176 1613448 2084037 2151264 2778716 3226896 4168074 4302528 5557432 6252111 6453792 8336148 11114864 12504222 12907584 16672296 22229728 25008444 33344592 44459456 50016888 66689184 100033776 133378368 200067552 400135104