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11680938 = 2321759647
BaseRepresentation
bin101100100011…
…110010101010
3210222110020100
4230203302222
510442242223
61054210230
7201200133
oct54436252
923873210
1011680938
116659075
123ab3976
13255c9c9
1417a0c8a
15105b043
hexb23caa

11680938 has 48 divisors (see below), whose sum is σ = 27293760. Its totient is φ = 3596928.

The previous prime is 11680919. The next prime is 11680961. The reversal of 11680938 is 83908611.

11680938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17731 + ... + 18377.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 211680938 is an apocalyptic number.

11680938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11680938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646880).

11680938 is an abundant number, since it is smaller than the sum of its proper divisors (15612822).

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

11680938 is a wasteful number, since it uses less digits than its factorization.

11680938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11680938 is about 3417.7387261170. The cubic root of 11680938 is about 226.8955123407.

The spelling of 11680938 in words is "eleven million, six hundred eighty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 647 1003 1062 1294 1941 2006 3009 3882 5823 6018 9027 10999 11646 18054 21998 32997 38173 65994 76346 98991 114519 197982 229038 343557 648941 687114 1297882 1946823 3893646 5840469 11680938