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11999968 = 252967193
BaseRepresentation
bin101101110001…
…101011100000
3211120122212021
4231301223200
511032444333
61105111224
7203666221
oct55615340
924518767
1011999968
116856832
124028514
132641c96
141845248
1510c082d
hexb71ae0

11999968 has 48 divisors (see below), whose sum is σ = 24932880. Its totient is φ = 5677056.

The previous prime is 11999941. The next prime is 11999987. The reversal of 11999968 is 86999911.

11999968 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, 62080 + ... + 62272.

It is an arithmetic number, because the mean of its divisors is an integer number (519435).

Almost surely, 211999968 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 11999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466440).

11999968 is an abundant number, since it is smaller than the sum of its proper divisors (12932912).

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

11999968 is a wasteful number, since it uses less digits than its factorization.

11999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 314928, while the sum is 52.

The square root of 11999968 is about 3464.0969963325. The cubic root of 11999968 is about 228.9426450057.

The spelling of 11999968 in words is "eleven million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 67 116 134 193 232 268 386 464 536 772 928 1072 1544 1943 2144 3088 3886 5597 6176 7772 11194 12931 15544 22388 25862 31088 44776 51724 62176 89552 103448 179104 206896 374999 413792 749998 1499996 2999992 5999984 11999968