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12135384 = 2332315437
BaseRepresentation
bin101110010010…
…101111011000
3211211112121200
4232102233120
511101313014
61112034200
7205102062
oct56225730
924745550
1012135384
116939548
124092960
13268b801
14187c732
1510eaa09
hexb92bd8

12135384 has 48 divisors (see below), whose sum is σ = 33933120. Its totient is φ = 3913920.

The previous prime is 12135367. The next prime is 12135413. The reversal of 12135384 is 48353121.

It is a happy number.

12135384 is a `hidden beast` number, since 121 + 3 + 538 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 487 + ... + 4950.

It is an arithmetic number, because the mean of its divisors is an integer number (706940).

Almost surely, 212135384 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 12135384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966560).

12135384 is an abundant number, since it is smaller than the sum of its proper divisors (21797736).

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

12135384 is a wasteful number, since it uses less digits than its factorization.

12135384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5473 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12135384 is about 3483.5878056969. The cubic root of 12135384 is about 229.8006085421.

The spelling of 12135384 in words is "twelve million, one hundred thirty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5437 10874 16311 21748 32622 43496 48933 65244 97866 130488 168547 195732 337094 391464 505641 674188 1011282 1348376 1516923 2022564 3033846 4045128 6067692 12135384