Search a number
-
+
10268520 = 233585571
BaseRepresentation
bin100111001010…
…111101101000
3201022200202120
4213022331220
510112043040
61004031240
7153165243
oct47127550
921280676
1010268520
115883989
123532520
132186b62
14151425a
15d7c7d0
hex9caf68

10268520 has 32 divisors (see below), whose sum is σ = 30805920. Its totient is φ = 2738240.

The previous prime is 10268519. The next prime is 10268539. The reversal of 10268520 is 2586201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42666 + ... + 42905.

It is an arithmetic number, because the mean of its divisors is an integer number (962685).

Almost surely, 210268520 is an apocalyptic number.

10268520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10268520 is an abundant number, since it is smaller than the sum of its proper divisors (20537400).

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

10268520 is a wasteful number, since it uses less digits than its factorization.

10268520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85585 (or 85581 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10268520 is about 3204.4531514753. The cubic root of 10268520 is about 217.3548245106.

The spelling of 10268520 in words is "ten million, two hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 85571 171142 256713 342284 427855 513426 684568 855710 1026852 1283565 1711420 2053704 2567130 3422840 5134260 10268520