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12404385 = 325753743
BaseRepresentation
bin101111010100…
…011010100001
3212100012121200
4233110122201
511133420020
61121511413
7210302250
oct57243241
925305550
1012404385
117002664
1241a2569
132754096
14190c797
151150590
hexbd46a1

12404385 has 48 divisors (see below), whose sum is σ = 25069824. Its totient is φ = 5556096.

The previous prime is 12404369. The next prime is 12404387. The reversal of 12404385 is 58340421.

12404385 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12404385 - 24 = 12404369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12404387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16324 + ... + 17066.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 212404385 is an apocalyptic number.

12404385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12404385 is an abundant number, since it is smaller than the sum of its proper divisors (12665439).

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

12404385 is a wasteful number, since it uses less digits than its factorization.

12404385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 12404385 is about 3521.9859454575. The cubic root of 12404385 is about 231.4861857667.

It can be divided in two parts, 1240 and 4385, that added together give a square (5625 = 752).

The spelling of 12404385 in words is "twelve million, four hundred four thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 743 795 1113 1855 2229 2385 3339 3715 5201 5565 6687 11145 15603 16695 26005 33435 39379 46809 78015 118137 196895 234045 275653 354411 590685 826959 1378265 1772055 2480877 4134795 12404385