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12427974 = 23213173307
BaseRepresentation
bin101111011010…
…001011000110
3212101101222100
4233122023012
511140143344
61122212530
7210431106
oct57321306
925341870
1012427974
117019359
1241b4146
132761a40
141917206
151157569
hexbda2c6

12427974 has 48 divisors (see below), whose sum is σ = 29261232. Its totient is φ = 3789504.

The previous prime is 12427951. The next prime is 12427991. The reversal of 12427974 is 47972421.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40329 + ... + 40635.

It is an arithmetic number, because the mean of its divisors is an integer number (609609).

Almost surely, 212427974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12427974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630616).

12427974 is an abundant number, since it is smaller than the sum of its proper divisors (16833258).

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

12427974 is a wasteful number, since it uses less digits than its factorization.

12427974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12427974 is about 3525.3331757438. Note that the first 3 decimals coincide. The cubic root of 12427974 is about 231.6328293373.

It can be divided in two parts, 1242 and 7974, that added together give a square (9216 = 962).

The spelling of 12427974 in words is "twelve million, four hundred twenty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 307 346 519 614 921 1038 1557 1842 2249 2763 3114 3991 4498 5526 6747 7982 11973 13494 20241 23946 35919 40482 53111 71838 106222 159333 318666 477999 690443 955998 1380886 2071329 4142658 6213987 12427974