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11906964 = 2232330749
BaseRepresentation
bin101101011010…
…111110010100
3211101221021200
4231122332110
511022010324
61103112500
7203131116
oct55327624
924357250
1011906964
1167a2973
123ba2730
13260b854
14181d3b6
1510a2ec9
hexb5af94

11906964 has 18 divisors (see below), whose sum is σ = 30098250. Its totient is φ = 3968976.

The previous prime is 11906929. The next prime is 11906969. The reversal of 11906964 is 46960911.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 5616900 = 2508^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 330749 = 11906964 / (1 + 1 + 9 + 0 + 6 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165339 + ... + 165410.

It is an arithmetic number, because the mean of its divisors is an integer number (1672125).

Almost surely, 211906964 is an apocalyptic number.

It is an amenable number.

11906964 is an abundant number, since it is smaller than the sum of its proper divisors (18191286).

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

11906964 is a wasteful number, since it uses less digits than its factorization.

11906964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330759 (or 330754 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 11906964 is about 3450.6468958733. The cubic root of 11906964 is about 228.3496481970.

The spelling of 11906964 in words is "eleven million, nine hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 330749 661498 992247 1322996 1984494 2976741 3968988 5953482 11906964