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10668736 = 261312823
BaseRepresentation
bin101000101100…
…101011000000
3202002000202101
4220230223000
510212344421
61020400144
7156453121
oct50545300
922060671
1010668736
116027641
1236a6054
132297080
1415ba048
15e0b191
hexa2cac0

10668736 has 28 divisors (see below), whose sum is σ = 22801072. Its totient is φ = 4923648.

The previous prime is 10668703. The next prime is 10668751. The reversal of 10668736 is 63786601.

It is a super-2 number, since 2×106687362 = 227643855675392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10668695 and 10668704.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5580 + ... + 7243.

It is an arithmetic number, because the mean of its divisors is an integer number (814324).

Almost surely, 210668736 is an apocalyptic number.

10668736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10668736 is an abundant number, since it is smaller than the sum of its proper divisors (12132336).

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

10668736 is a wasteful number, since it uses less digits than its factorization.

10668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 10668736 is about 3266.3031090210. The cubic root of 10668736 is about 220.1427173145.

It can be divided in two parts, 10 and 668736, that added together give a triangular number (668746 = T1156).

The spelling of 10668736 in words is "ten million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12823 25646 51292 102584 166699 205168 333398 410336 666796 820672 1333592 2667184 5334368 10668736