Search a number
-
+
12324732 = 2237314733
BaseRepresentation
bin101111000000…
…111101111100
3212012011100120
4233000331330
511123342412
61120054540
7206521110
oct57007574
925164316
1012324732
116a58832
124164450
132726a54
1418cb740
151136b8c
hexbc0f7c

12324732 has 48 divisors (see below), whose sum is σ = 33933312. Its totient is φ = 3407040.

The previous prime is 12324731. The next prime is 12324733. The reversal of 12324732 is 23742321.

It is an interprime number because it is at equal distance from previous prime (12324731) and next prime (12324733).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (706944).

Almost surely, 212324732 is an apocalyptic number.

12324732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12324732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966656).

12324732 is an abundant number, since it is smaller than the sum of its proper divisors (21608580).

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

12324732 is a wasteful number, since it uses less digits than its factorization.

12324732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4776 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 12324732 is about 3510.6597670523. The cubic root of 12324732 is about 230.9896361610.

The spelling of 12324732 in words is "twelve million, three hundred twenty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 4733 9466 14199 18932 28398 33131 56796 66262 99393 132524 146723 198786 293446 397572 440169 586892 880338 1027061 1760676 2054122 3081183 4108244 6162366 12324732