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11876985 = 325263933
BaseRepresentation
bin101101010011…
…101001111001
3211100102011100
4231103221321
511020030420
61102322013
7202644531
oct55235171
924312140
1011876985
11678239a
123b89309
1325cb003
1418124c1
151099190
hexb53a79

11876985 has 12 divisors (see below), whose sum is σ = 20586852. Its totient is φ = 6334368.

The previous prime is 11876983. The next prime is 11876989. The reversal of 11876985 is 58967811.

It can be written as a sum of positive squares in 2 ways, for example, as 2732409 + 9144576 = 1653^2 + 3024^2 .

It is not a de Polignac number, because 11876985 - 21 = 11876983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 263933 = 11876985 / (1 + 1 + 8 + 7 + 6 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 11876985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11876981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131922 + ... + 132011.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 211876985 is an apocalyptic number.

11876985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11876985 is a deficient number, since it is larger than the sum of its proper divisors (8709867).

11876985 is a wasteful number, since it uses less digits than its factorization.

11876985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263944 (or 263941 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11876985 is about 3446.3001900589. The cubic root of 11876985 is about 228.1578431477.

The spelling of 11876985 in words is "eleven million, eight hundred seventy-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 263933 791799 1319665 2375397 3958995 11876985