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11876868 = 22364073
BaseRepresentation
bin101101010011…
…101000000100
3211100102000000
4231103220010
511020024433
61102321300
7202644303
oct55235004
924312000
1011876868
1167822a3
123b89230
1325cac43
14181243a
151099113
hexb53a04

11876868 has 42 divisors (see below), whose sum is σ = 31170174. Its totient is φ = 3957984.

The previous prime is 11876861. The next prime is 11876869. The reversal of 11876868 is 86867811.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 3992004 = 2808^2 + 1998^2 .

It is not an unprimeable number, because it can be changed into a prime (11876861) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 880 + ... + 4952.

It is an arithmetic number, because the mean of its divisors is an integer number (742147).

Almost surely, 211876868 is an apocalyptic number.

11876868 is a gapful number since it is divisible by the number (18) 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 11876868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585087).

11876868 is an abundant number, since it is smaller than the sum of its proper divisors (19293306).

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

11876868 is an equidigital number, since it uses as much as digits as its factorization.

11876868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4078 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 11876868 is about 3446.2832152915. The cubic root of 11876868 is about 228.1570939521.

The spelling of 11876868 in words is "eleven million, eight hundred seventy-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4073 8146 12219 16292 24438 36657 48876 73314 109971 146628 219942 329913 439884 659826 989739 1319652 1979478 2969217 3958956 5938434 11876868