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10264840 = 235298849
BaseRepresentation
bin100111001010…
…000100001000
3201022111201021
4213022010020
510111433330
61004002224
7153151435
oct47120410
921274637
1010264840
115881143
123530374
132185291
141512b8c
15d7b67a
hex9ca108

10264840 has 32 divisors (see below), whose sum is σ = 23895000. Its totient is φ = 3963904.

The previous prime is 10264819. The next prime is 10264843. The reversal of 10264840 is 4846201.

It can be written as a sum of positive squares in 4 ways, for example, as 4761124 + 5503716 = 2182^2 + 2346^2 .

It is not an unprimeable number, because it can be changed into a prime (10264843) 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, 3265 + ... + 5584.

Almost surely, 210264840 is an apocalyptic number.

10264840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10264840 is an abundant number, since it is smaller than the sum of its proper divisors (13630160).

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

10264840 is a wasteful number, since it uses less digits than its factorization.

10264840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 10264840 is about 3203.8788990847. The cubic root of 10264840 is about 217.3288564281.

The spelling of 10264840 in words is "ten million, two hundred sixty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 8849 17698 35396 44245 70792 88490 176980 256621 353960 513242 1026484 1283105 2052968 2566210 5132420 10264840