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11875056 = 243733389
BaseRepresentation
bin101101010011…
…001011110000
3211100022111220
4231103023300
511020000211
61102305040
7202636104
oct55231360
924308456
1011875056
1167809a6
123b88180
1325ca17b
141811904
151098806
hexb532f0

11875056 has 40 divisors (see below), whose sum is σ = 31106640. Its totient is φ = 3902976.

The previous prime is 11875049. The next prime is 11875063. The reversal of 11875056 is 65057811.

11875056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11875049) and next prime (11875063).

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, 1810 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (777666).

Almost surely, 211875056 is an apocalyptic number.

11875056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11875056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553320).

11875056 is an abundant number, since it is smaller than the sum of its proper divisors (19231584).

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

11875056 is a wasteful number, since it uses less digits than its factorization.

11875056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 11875056 is about 3446.0203133470. The cubic root of 11875056 is about 228.1454903969.

The spelling of 11875056 in words is "eleven million, eight hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3389 3504 6778 10167 13556 20334 27112 40668 54224 81336 162672 247397 494794 742191 989588 1484382 1979176 2968764 3958352 5937528 11875056