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10290055840 = 255611054309
BaseRepresentation
bin10011001010101010…
…11100101010100000
3222120010112222221021
421211111130222200
5132033223241330
64421023335224
7512666013541
oct114525345240
928503488837
1010290055840
114400517289
121bb2151514
13c7cb15c4c
146d88a84c8
154035a567a
hex26555caa0

10290055840 has 48 divisors (see below), whose sum is σ = 24708809160. Its totient is φ = 4048542720.

The previous prime is 10290055823. The next prime is 10290055843. The reversal of 10290055840 is 4855009201.

It can be written as a sum of positive squares in 4 ways, for example, as 6100859664 + 4189196176 = 78108^2 + 64724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10290055796 and 10290055805.

It is not an unprimeable number, because it can be changed into a prime (10290055843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517395 + ... + 536914.

Almost surely, 210290055840 is an apocalyptic number.

10290055840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10290055840 is an abundant number, since it is smaller than the sum of its proper divisors (14418753320).

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

10290055840 is a wasteful number, since it uses less digits than its factorization.

10290055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054385 (or 1054377 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 10290055840 in words is "ten billion, two hundred ninety million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 1054309 2108618 4217236 5271545 8434472 10543090 16868944 21086180 33737888 42172360 64312849 84344720 128625698 168689440 257251396 321564245 514502792 643128490 1029005584 1286256980 2058011168 2572513960 5145027920 10290055840