Search a number
-
+
12379224 = 23311133607
BaseRepresentation
bin101111001110…
…010001011000
3212021221002210
4233032101120
511132113344
61121155120
7210136014
oct57162130
925257083
1012379224
116a95770
12418baa0
1327457b0
141903544
151147db9
hexbce458

12379224 has 64 divisors (see below), whose sum is σ = 36368640. Its totient is φ = 3461760.

The previous prime is 12379219. The next prime is 12379229. The reversal of 12379224 is 42297321.

12379224 is digitally balanced in base 2 and base 4, because in such bases 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 (12379219) and next prime (12379229).

It is a junction number, because it is equal to n+sod(n) for n = 12379191 and 12379200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12379229) 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, 1629 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 212379224 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 12379224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184320).

12379224 is an abundant number, since it is smaller than the sum of its proper divisors (23989416).

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

12379224 is a wasteful number, since it uses less digits than its factorization.

12379224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3636 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 12379224 is about 3518.4121418617. The cubic root of 12379224 is about 231.3295646352.

The spelling of 12379224 in words is "twelve million, three hundred seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 3607 7214 10821 14428 21642 28856 39677 43284 46891 79354 86568 93782 119031 140673 158708 187564 238062 281346 317416 375128 476124 515801 562692 952248 1031602 1125384 1547403 2063204 3094806 4126408 6189612 12379224