Search a number
-
+
12614976 = 2632112181
BaseRepresentation
bin110000000111…
…110101000000
3212201220111100
4300013311000
511212134401
61130214400
7212140233
oct60076500
925656440
1012614976
117136900
124284400
1327c8baa
14196541a
151192b86
hexc07d40

12614976 has 126 divisors (see below), whose sum is σ = 39964106. Its totient is φ = 3801600.

The previous prime is 12614963. The next prime is 12614989. The reversal of 12614976 is 67941621.

It is an interprime number because it is at equal distance from previous prime (12614963) and next prime (12614989).

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 5645376 = 2640^2 + 2376^2 .

It is a super-3 number, since 3×126149763 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12614976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69606 + ... + 69786.

Almost surely, 212614976 is an apocalyptic number.

12614976 is a gapful number since it is divisible by the number (16) 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 12614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982053).

12614976 is an abundant number, since it is smaller than the sum of its proper divisors (27349130).

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

12614976 is a wasteful number, since it uses less digits than its factorization.

12614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12614976 is about 3551.7567484275. The cubic root of 12614976 is about 232.7888328508.

The spelling of 12614976 in words is "twelve million, six hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 181 192 198 242 264 288 352 362 363 396 484 528 543 576 704 724 726 792 968 1056 1086 1089 1448 1452 1584 1629 1936 1991 2112 2172 2178 2896 2904 3168 3258 3872 3982 4344 4356 5792 5808 5973 6336 6516 7744 7964 8688 8712 11584 11616 11946 13032 15928 17376 17424 17919 21901 23232 23892 26064 31856 34752 34848 35838 43802 47784 52128 63712 65703 69696 71676 87604 95568 104256 127424 131406 143352 175208 191136 197109 262812 286704 350416 382272 394218 525624 573408 700832 788436 1051248 1146816 1401664 1576872 2102496 3153744 4204992 6307488 12614976