Search a number
-
+
12947382 = 2327211487
BaseRepresentation
bin110001011000…
…111110110110
3220100210110200
4301120332312
511303304012
61141301330
7215023320
oct61307666
926323420
1012947382
117343618
124404846
1328b4296
141a10610
15120b3dc
hexc58fb6

12947382 has 48 divisors (see below), whose sum is σ = 32278272. Its totient is φ = 3674160.

The previous prime is 12947381. The next prime is 12947401. The reversal of 12947382 is 28374921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12947381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26343 + ... + 26829.

It is an arithmetic number, because the mean of its divisors is an integer number (672464).

Almost surely, 212947382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12947382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139136).

12947382 is an abundant number, since it is smaller than the sum of its proper divisors (19330890).

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

12947382 is a wasteful number, since it uses less digits than its factorization.

12947382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 710 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12947382 is about 3598.2470732289. The cubic root of 12947382 is about 234.8158025442.

The spelling of 12947382 in words is "twelve million, nine hundred forty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 487 633 974 1266 1461 1477 1899 2922 2954 3409 3798 4383 4431 6818 8766 8862 10227 13293 20454 26586 30681 61362 102757 205514 308271 616542 719299 924813 1438598 1849626 2157897 4315794 6473691 12947382