Search a number
-
+
10868640 = 253522643
BaseRepresentation
bin101001011101…
…011110100000
3202110011222020
4221131132200
510240244030
61024541440
7161244666
oct51353640
922404866
1010868640
116153852
123781880
132337063
14162cc36
15e4a510
hexa5d7a0

10868640 has 48 divisors (see below), whose sum is σ = 34237728. Its totient is φ = 2898176.

The previous prime is 10868617. The next prime is 10868647. The reversal of 10868640 is 4686801.

10868640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10868647) 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, 10842 + ... + 11801.

It is an arithmetic number, because the mean of its divisors is an integer number (713286).

Almost surely, 210868640 is an apocalyptic number.

10868640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10868640 is an abundant number, since it is smaller than the sum of its proper divisors (23369088).

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

10868640 is a wasteful number, since it uses less digits than its factorization.

10868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22661 (or 22653 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10868640 is about 3296.7620478281. The cubic root of 10868640 is about 221.5091826810.

The spelling of 10868640 in words is "ten million, eight hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 22643 45286 67929 90572 113215 135858 181144 226430 271716 339645 362288 452860 543432 679290 724576 905720 1086864 1358580 1811440 2173728 2717160 3622880 5434320 10868640