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11680801 = 111955889
BaseRepresentation
bin101100100011…
…110000100001
3210222110001021
4230203300201
510442241201
61054205441
7201166546
oct54436041
923873037
1011680801
116658a60
123ab3881
13255c922
1417a0bcd
15105aea1
hexb23c21

11680801 has 8 divisors (see below), whose sum is σ = 13413600. Its totient is φ = 10059840.

The previous prime is 11680793. The next prime is 11680807. The reversal of 11680801 is 10808611.

It is a happy number.

11680801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11680801 - 23 = 11680793 is a prime.

It is a super-2 number, since 2×116808012 = 272882224003202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11680807) 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, 27736 + ... + 28153.

It is an arithmetic number, because the mean of its divisors is an integer number (1676700).

Almost surely, 211680801 is an apocalyptic number.

11680801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11680801 is a deficient number, since it is larger than the sum of its proper divisors (1732799).

11680801 is a wasteful number, since it uses less digits than its factorization.

11680801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55919.

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 11680801 is about 3417.7186835666. The cubic root of 11680801 is about 226.8946252884.

The spelling of 11680801 in words is "eleven million, six hundred eighty thousand, eight hundred one".

Divisors: 1 11 19 209 55889 614779 1061891 11680801