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12427884 = 2233717967
BaseRepresentation
bin101111011010…
…001001101100
3212101101212000
4233122021230
511140143014
61122212300
7210430620
oct57321154
925341760
1012427884
117019287
1241b4090
1327619a1
141917180
151157509
hexbda26c

12427884 has 96 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3338496.

The previous prime is 12427873. The next prime is 12427907. The reversal of 12427884 is 48872421.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12369 + ... + 13335.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 212427884 is an apocalyptic number.

12427884 is a gapful number since it is divisible by the number (14) 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 12427884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

12427884 is an abundant number, since it is smaller than the sum of its proper divisors (26601876).

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

12427884 is a wasteful number, since it uses less digits than its factorization.

12427884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12427884 is about 3525.3204109698. The cubic root of 12427884 is about 231.6322701953.

The spelling of 12427884 in words is "twelve million, four hundred twenty-seven thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 967 1071 1428 1836 1934 2142 2901 3213 3868 4284 5802 6426 6769 8703 11604 12852 13538 16439 17406 20307 26109 27076 32878 34812 40614 49317 52218 60921 65756 81228 98634 104436 115073 121842 147951 182763 197268 230146 243684 295902 345219 365526 443853 460292 591804 690438 731052 887706 1035657 1380876 1775412 2071314 3106971 4142628 6213942 12427884