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10400323240 = 2351735714283
BaseRepresentation
bin10011010111110100…
…00101011010101000
3222211211001011101001
421223322011122220
5132244440320430
64440003004344
7515505201046
oct115372053250
928754034331
1010400323240
11445779086a
1220230696b4
13c99912c28
147093ad396
1540d0d73ca
hex26be856a8

10400323240 has 64 divisors (see below), whose sum is σ = 24789965760. Its totient is φ = 3913405440.

The previous prime is 10400323201. The next prime is 10400323247. The reversal of 10400323240 is 4232300401.

10400323240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10400323247) 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 15 ways as a sum of consecutive naturals, for example, 2426139 + ... + 2430421.

It is an arithmetic number, because the mean of its divisors is an integer number (387343215).

Almost surely, 210400323240 is an apocalyptic number.

10400323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400323240 is an abundant number, since it is smaller than the sum of its proper divisors (14389642520).

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

10400323240 is a wasteful number, since it uses less digits than its factorization.

10400323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10400323240 its reverse (4232300401), we get a palindrome (14632623641).

The spelling of 10400323240 in words is "ten billion, four hundred million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3571 4283 7142 8566 14284 17132 17855 21415 28568 34264 35710 42830 60707 71420 72811 85660 121414 142840 145622 171320 242828 291244 303535 364055 485656 582488 607070 728110 1214140 1456220 2428280 2912440 15294593 30589186 61178372 76472965 122356744 152945930 260008081 305891860 520016162 611783720 1040032324 1300040405 2080064648 2600080810 5200161620 10400323240