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11308960 = 255135437
BaseRepresentation
bin101011001000…
…111110100000
3210021112222101
4223020332200
510343341320
61042220144
7165060505
oct53107640
923245871
1011308960
116424653
123954654
13245c5c0
1417054ac
15ed5c0a
hexac8fa0

11308960 has 48 divisors (see below), whose sum is σ = 28777896. Its totient is φ = 4174848.

The previous prime is 11308909. The next prime is 11308991. The reversal of 11308960 is 6980311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 3888784 = 2724^2 + 1972^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 4798.

Almost surely, 211308960 is an apocalyptic number.

11308960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11308960 is an abundant number, since it is smaller than the sum of its proper divisors (17468936).

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

11308960 is a wasteful number, since it uses less digits than its factorization.

11308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11308960 is about 3362.8797183367. The cubic root of 11308960 is about 224.4609978823.

The spelling of 11308960 in words is "eleven million, three hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5437 10874 21748 27185 43496 54370 70681 86992 108740 141362 173984 217480 282724 353405 434960 565448 706810 869920 1130896 1413620 2261792 2827240 5654480 11308960