Search a number
-
+
12479712 = 25373379
BaseRepresentation
bin101111100110…
…110011100000
3212111000221120
4233212303200
511143322322
61123252240
7211035000
oct57466340
925430846
1012479712
117054213
12421a080
13277c45b
14192c000
151167a5c
hexbe6ce0

12479712 has 96 divisors (see below), whose sum is σ = 38304000. Its totient is φ = 3556224.

The previous prime is 12479711. The next prime is 12479723. The reversal of 12479712 is 21797421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32739 + ... + 33117.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 212479712 is an apocalyptic number.

12479712 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 12479712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152000).

12479712 is an abundant number, since it is smaller than the sum of its proper divisors (25824288).

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

12479712 is an equidigital number, since it uses as much as digits as its factorization.

12479712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 391 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 12479712 is about 3532.6635843227. The cubic root of 12479712 is about 231.9538156184.

It can be divided in two parts, 1247971 and 2, that multiplied together give a palindrome (2495942).

The spelling of 12479712 in words is "twelve million, four hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 379 392 588 672 686 758 784 1029 1137 1176 1372 1516 1568 2058 2274 2352 2653 2744 3032 4116 4548 4704 5306 5488 6064 7959 8232 9096 10612 10976 12128 15918 16464 18192 18571 21224 31836 32928 36384 37142 42448 55713 63672 74284 84896 111426 127344 129997 148568 222852 254688 259994 297136 389991 445704 519988 594272 779982 891408 1039976 1559964 1782816 2079952 3119928 4159904 6239856 12479712