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11964681 = 3211532
BaseRepresentation
bin101101101001…
…000100001001
3211111212110100
4231221010021
511030332211
61104240013
7203461311
oct55510411
924455410
1011964681
116832273
124010009
13262bbc1
141836441
1510b5156
hexb69109

11964681 has 9 divisors (see below), whose sum is σ = 17297319. Its totient is φ = 7969536.

The previous prime is 11964679. The next prime is 11964713. The reversal of 11964681 is 18646911.

It is a happy number.

The square root of 11964681 is 3459.

It is a perfect power (a square), and thus also a powerful number.

11964681 is a `hidden beast` number, since 1 + 1 + 9 + 646 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9455625 + 2509056 = 3075^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11964681 - 21 = 11964679 is a prime.

It is a super-2 number, since 2×119646812 = 286307182863522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11964611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9801 + ... + 10953.

Almost surely, 211964681 is an apocalyptic number.

11964681 is the 3459-th square number.

11964681 is the 1730-th centered octagonal number.

It is an amenable number.

11964681 is a deficient number, since it is larger than the sum of its proper divisors (5332638).

11964681 is an frugal number, since it uses more digits than its factorization.

11964681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 1156 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The cubic root of 11964681 is about 228.7180157736.

Multiplying 11964681 by its sum of digits (36), we get a square (430728516 = 207542).

The spelling of 11964681 in words is "eleven million, nine hundred sixty-four thousand, six hundred eighty-one".

Divisors: 1 3 9 1153 3459 10377 1329409 3988227 11964681