Search a number
-
+
12479984 = 2411233083
BaseRepresentation
bin101111100110…
…110111110000
3212111001022122
4233212313300
511143324414
61123253412
7211035536
oct57466760
925431278
1012479984
117054440
12421a268
13277c60a
14192c156
151167b8e
hexbe6df0

12479984 has 40 divisors (see below), whose sum is σ = 27533952. Its totient is φ = 5424320.

The previous prime is 12479981. The next prime is 12479993. The reversal of 12479984 is 48997421.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2507 + ... + 5589.

Almost surely, 212479984 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 12479984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766976).

12479984 is an abundant number, since it is smaller than the sum of its proper divisors (15053968).

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

12479984 is a wasteful number, since it uses less digits than its factorization.

12479984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3119 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 12479984 is about 3532.7020819763. The cubic root of 12479984 is about 231.9555007796.

It can be divided in two parts, 124 and 79984, that added together give a palindrome (80108).

The spelling of 12479984 in words is "twelve million, four hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 3083 4048 6166 12332 24664 33913 49328 67826 70909 135652 141818 271304 283636 542608 567272 779999 1134544 1559998 3119996 6239992 12479984