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11900768 = 251133809
BaseRepresentation
bin101101011001…
…011101100000
3211101121210012
4231121131200
511021311033
61103024052
7203104055
oct55313540
924347705
1011900768
116799250
123b9b028
132608a99
14181b02c
1510a1248
hexb59760

11900768 has 24 divisors (see below), whose sum is σ = 25560360. Its totient is φ = 5409280.

The previous prime is 11900767. The next prime is 11900771. The reversal of 11900768 is 86700911.

11900768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11900767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16553 + ... + 17256.

It is an arithmetic number, because the mean of its divisors is an integer number (1065015).

Almost surely, 211900768 is an apocalyptic number.

It is an amenable number.

11900768 is an abundant number, since it is smaller than the sum of its proper divisors (13659592).

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

11900768 is a wasteful number, since it uses less digits than its factorization.

11900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33830 (or 33822 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 11900768 is about 3449.7489763749. The cubic root of 11900768 is about 228.3100327275.

The spelling of 11900768 in words is "eleven million, nine hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 33809 67618 135236 270472 371899 540944 743798 1081888 1487596 2975192 5950384 11900768