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11906973 = 331333923
BaseRepresentation
bin101101011010…
…111110011101
3211101221022000
4231122332131
511022010343
61103112513
7203131131
oct55327635
924357260
1011906973
1167a2981
123ba2739
13260b860
14181d3c1
1510a2ed3
hexb5af9d

11906973 has 16 divisors (see below), whose sum is σ = 18997440. Its totient is φ = 7327152.

The previous prime is 11906969. The next prime is 11906981. The reversal of 11906973 is 37960911.

11906973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11906973 - 22 = 11906969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11901973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16611 + ... + 17312.

It is an arithmetic number, because the mean of its divisors is an integer number (1187340).

Almost surely, 211906973 is an apocalyptic number.

11906973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11906973 is a deficient number, since it is larger than the sum of its proper divisors (7090467).

11906973 is a wasteful number, since it uses less digits than its factorization.

11906973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33945 (or 33939 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11906973 is about 3450.6481999763. The cubic root of 11906973 is about 228.3497057304.

The spelling of 11906973 in words is "eleven million, nine hundred six thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 27 39 117 351 33923 101769 305307 440999 915921 1322997 3968991 11906973