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10404423200 = 2552107121547
BaseRepresentation
bin10011011000010011…
…01110011000100000
3222212002202110110102
421230021232120200
5132302013020300
64440230521532
7515555065223
oct115411563040
928762673412
1010404423200
11445a031166
1220245062a8
13c9a71a142
14709b595ba
1540d6470d5
hex26c26e620

10404423200 has 72 divisors (see below), whose sum is σ = 25637390352. Its totient is φ = 4122840320.

The previous prime is 10404423187. The next prime is 10404423217. The reversal of 10404423200 is 232440401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 24827 + ... + 146373.

It is an arithmetic number, because the mean of its divisors is an integer number (356074866).

Almost surely, 210404423200 is an apocalyptic number.

10404423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818695176).

10404423200 is an abundant number, since it is smaller than the sum of its proper divisors (15232967152).

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

10404423200 is a wasteful number, since it uses less digits than its factorization.

10404423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121674 (or 121661 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10404423200 its reverse (232440401), we get a palindrome (10636863601).

The spelling of 10404423200 in words is "ten billion, four hundred four million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 400 428 535 800 856 1070 1712 2140 2675 3424 4280 5350 8560 10700 17120 21400 42800 85600 121547 243094 486188 607735 972376 1215470 1944752 2430940 3038675 3889504 4861880 6077350 9723760 12154700 13005529 19447520 24309400 26011058 48618800 52022116 65027645 97237600 104044232 130055290 208088464 260110580 325138225 416176928 520221160 650276450 1040442320 1300552900 2080884640 2601105800 5202211600 10404423200