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11933168 = 2413103557
BaseRepresentation
bin101101100001…
…010111110000
3211110021020012
4231201113300
511023330133
61103434052
7203300402
oct55412760
924407205
1011933168
116810625
123bb5928
13261a760
141828b72
1510aab48
hexb615f0

11933168 has 40 divisors (see below), whose sum is σ = 25185888. Its totient is φ = 5444352.

The previous prime is 11933153. The next prime is 11933177. The reversal of 11933168 is 86133911.

11933168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21146 + ... + 21702.

Almost surely, 211933168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11933168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592944).

11933168 is an abundant number, since it is smaller than the sum of its proper divisors (13252720).

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

11933168 is a wasteful number, since it uses less digits than its factorization.

11933168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 11933168 is about 3454.4417783486. The cubic root of 11933168 is about 228.5170373556.

The spelling of 11933168 in words is "eleven million, nine hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 557 824 1114 1339 1648 2228 2678 4456 5356 7241 8912 10712 14482 21424 28964 57371 57928 114742 115856 229484 458968 745823 917936 1491646 2983292 5966584 11933168