Search a number
-
+
12905541 = 3311192287
BaseRepresentation
bin110001001110…
…110001000101
3220021200002000
4301032301011
511300434131
61140335513
7214460325
oct61166105
926250060
1012905541
117315140
1243a4599
13289b21c
1419dd285
1511edce6
hexc4ec45

12905541 has 32 divisors (see below), whose sum is σ = 21964800. Its totient is φ = 7406640.

The previous prime is 12905539. The next prime is 12905549. The reversal of 12905541 is 14550921.

It is not a de Polignac number, because 12905541 - 21 = 12905539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500 + ... + 6786.

It is an arithmetic number, because the mean of its divisors is an integer number (686400).

Almost surely, 212905541 is an apocalyptic number.

12905541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12905541 is a deficient number, since it is larger than the sum of its proper divisors (9059259).

12905541 is a wasteful number, since it uses less digits than its factorization.

12905541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 12905541 is about 3592.4282873845. The cubic root of 12905541 is about 234.5625845446.

The spelling of 12905541 in words is "twelve million, nine hundred five thousand, five hundred forty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 2287 5643 6861 20583 25157 43453 61749 75471 130359 226413 391077 477983 679239 1173231 1433949 4301847 12905541