Search a number
-
+
12827514 = 237323271
BaseRepresentation
bin110000111011…
…101101111010
3220010201001010
4300323231322
511240440024
61134534350
7214014000
oct60735572
926121033
1012827514
117271557
1243673b6
13287185b
1419bca70
1511d5b29
hexc3bb7a

12827514 has 64 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 3492720.

The previous prime is 12827513. The next prime is 12827531. The reversal of 12827514 is 41572821.

Its product of digits (4480) is a multiple of the sum of its prime factors (320).

It is not an unprimeable number, because it can be changed into a prime (12827513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47199 + ... + 47469.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 212827514 is an apocalyptic number.

12827514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12827514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

12827514 is an abundant number, since it is smaller than the sum of its proper divisors (18506886).

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

12827514 is a wasteful number, since it uses less digits than its factorization.

12827514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 12827514 is about 3581.5518982698. The cubic root of 12827514 is about 234.0889062414.

The spelling of 12827514 in words is "twelve million, eight hundred twenty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 271 294 322 343 483 542 686 813 966 1029 1127 1626 1897 2058 2254 3381 3794 5691 6233 6762 7889 11382 12466 13279 15778 18699 23667 26558 37398 39837 43631 47334 79674 87262 92953 130893 185906 261786 278859 305417 557718 610834 916251 1832502 2137919 4275838 6413757 12827514