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10307840 = 2858053
BaseRepresentation
bin100111010100…
…100100000000
3201101200200212
4213110210000
510114322330
61004533252
7153421004
oct47244400
921350625
1010307840
115900484
123551228
13219ba1a
141524704
15d89295
hex9d4900

10307840 has 36 divisors (see below), whose sum is σ = 24693564. Its totient is φ = 4122624.

The previous prime is 10307821. The next prime is 10307849. The reversal of 10307840 is 4870301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 4393216 = 2432^2 + 2096^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10307849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2747 + ... + 5306.

Almost surely, 210307840 is an apocalyptic number.

10307840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10307840 is an abundant number, since it is smaller than the sum of its proper divisors (14385724).

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

10307840 is an frugal number, since it uses more digits than its factorization.

10307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10307840 is about 3210.5825016654. The cubic root of 10307840 is about 217.6319013206.

The spelling of 10307840 in words is "ten million, three hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 8053 16106 32212 40265 64424 80530 128848 161060 257696 322120 515392 644240 1030784 1288480 2061568 2576960 5153920 10307840