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12883374 = 23572541
BaseRepresentation
bin110001001001…
…010110101110
3220020112200000
4301021112232
511244231444
61140045130
7214335600
oct61112656
926215600
1012883374
1172aa519
1243937a6
1328910ca
1419d5170
1511e7469
hexc495ae

12883374 has 72 divisors (see below), whose sum is σ = 33736248. Its totient is φ = 3674160.

The previous prime is 12883369. The next prime is 12883397. The reversal of 12883374 is 47338821.

12883374 is a `hidden beast` number, since 1 + 288 + 3 + 374 = 666.

12883374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23544 + ... + 24084.

It is an arithmetic number, because the mean of its divisors is an integer number (468559).

Almost surely, 212883374 is an apocalyptic number.

12883374 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 12883374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868124).

12883374 is an abundant number, since it is smaller than the sum of its proper divisors (20852874).

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

12883374 is an equidigital number, since it uses as much as digits as its factorization.

12883374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12883374 is about 3589.3417223775. The cubic root of 12883374 is about 234.4282099989.

The spelling of 12883374 in words is "twelve million, eight hundred eighty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 541 567 882 1082 1134 1323 1623 1701 2646 3246 3402 3787 3969 4869 7574 7938 9738 11361 11907 14607 22722 23814 26509 29214 34083 43821 53018 68166 79527 87642 102249 131463 159054 204498 238581 262926 306747 477162 613494 715743 920241 1431486 1840482 2147229 4294458 6441687 12883374