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12905235 = 325753773
BaseRepresentation
bin110001001110…
…101100010011
3220021122122200
4301032230103
511300431420
61140334243
7214456410
oct61165423
926248580
1012905235
117314992
1243a4383
13289b045
1419dd107
1511edb90
hexc4eb13

12905235 has 48 divisors (see below), whose sum is σ = 26080704. Its totient is φ = 5780736.

The previous prime is 12905219. The next prime is 12905251. The reversal of 12905235 is 53250921.

12905235 is nontrivially palindromic in base 4.

12905235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12905219) and next prime (12905251).

It is not a de Polignac number, because 12905235 - 24 = 12905219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12905199 and 12905208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16309 + ... + 17081.

It is an arithmetic number, because the mean of its divisors is an integer number (543348).

Almost surely, 212905235 is an apocalyptic number.

12905235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12905235 is an abundant number, since it is smaller than the sum of its proper divisors (13175469).

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

12905235 is a wasteful number, since it uses less digits than its factorization.

12905235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 12905235 is about 3592.3856975553. The cubic root of 12905235 is about 234.5607306454.

The spelling of 12905235 in words is "twelve million, nine hundred five thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 773 795 1113 1855 2319 2385 3339 3865 5411 5565 6957 11595 16233 16695 27055 34785 40969 48699 81165 122907 204845 243495 286783 368721 614535 860349 1433915 1843605 2581047 4301745 12905235