Search a number
-
+
12379416 = 2337312377
BaseRepresentation
bin101111001110…
…010100011000
3212021221100220
4233032110120
511132120131
61121200040
7210136410
oct57162430
925257326
1012379416
116a95925
124190020
1327458ca
141903640
151147e96
hexbce518

12379416 has 64 divisors (see below), whose sum is σ = 36526080. Its totient is φ = 3421440.

The previous prime is 12379387. The next prime is 12379429. The reversal of 12379416 is 61497321.

12379416 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12379416 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020 + ... + 6396.

It is an arithmetic number, because the mean of its divisors is an integer number (570720).

Almost surely, 212379416 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 12379416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263040).

12379416 is an abundant number, since it is smaller than the sum of its proper divisors (24146664).

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

12379416 is a wasteful number, since it uses less digits than its factorization.

12379416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 12379416 is about 3518.4394267914. The cubic root of 12379416 is about 231.3307605919.

The spelling of 12379416 in words is "twelve million, three hundred seventy-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2377 2604 4754 5208 7131 9508 14262 16639 19016 28524 33278 49917 57048 66556 73687 99834 133112 147374 199668 221061 294748 399336 442122 515809 589496 884244 1031618 1547427 1768488 2063236 3094854 4126472 6189708 12379416