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11680405 = 511534007
BaseRepresentation
bin101100100011…
…101010010101
3210222102111121
4230203222111
510442233110
61054203541
7201165442
oct54435225
923872447
1011680405
116658730
123ab35b1
13255c6a9
1417a09c9
15105acda
hexb23a95

11680405 has 16 divisors (see below), whose sum is σ = 15583104. Its totient is φ = 8332480.

The previous prime is 11680379. The next prime is 11680457. The reversal of 11680405 is 50408611.

11680405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11680405 - 25 = 11680373 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11680405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912 + ... + 4918.

It is an arithmetic number, because the mean of its divisors is an integer number (973944).

Almost surely, 211680405 is an apocalyptic number.

It is an amenable number.

11680405 is a deficient number, since it is larger than the sum of its proper divisors (3902699).

11680405 is a wasteful number, since it uses less digits than its factorization.

11680405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 11680405 is about 3417.6607496942. The cubic root of 11680405 is about 226.8920612152.

The spelling of 11680405 in words is "eleven million, six hundred eighty thousand, four hundred five".

Divisors: 1 5 11 53 55 265 583 2915 4007 20035 44077 212371 220385 1061855 2336081 11680405