Search a number
-
+
12365364 = 22311113829
BaseRepresentation
bin101111001010…
…111000110100
3212021020002110
4233022320310
511131142424
61121011020
7210050424
oct57127064
925236073
1012365364
116a86310
124183a70
13273c3ab
1418dc484
151143c29
hexbcae34

12365364 has 48 divisors (see below), whose sum is σ = 31792320. Its totient is φ = 3709440.

The previous prime is 12365351. The next prime is 12365369. The reversal of 12365364 is 46356321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12365369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14502 + ... + 15330.

It is an arithmetic number, because the mean of its divisors is an integer number (662340).

Almost surely, 212365364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12365364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896160).

12365364 is an abundant number, since it is smaller than the sum of its proper divisors (19426956).

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

12365364 is a wasteful number, since it uses less digits than its factorization.

12365364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 12365364 is about 3516.4419517461. The cubic root of 12365364 is about 231.2431988260.

The spelling of 12365364 in words is "twelve million, three hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 829 1243 1356 1658 2486 2487 3316 3729 4972 4974 7458 9119 9948 14916 18238 27357 36476 54714 93677 109428 187354 281031 374708 562062 1030447 1124124 2060894 3091341 4121788 6182682 12365364