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12523140 = 2233573313
BaseRepresentation
bin101111110001…
…011010000100
3212120020112000
4233301122010
511201220030
61124225300
7211305420
oct57613204
925506460
1012523140
117083903
12423b230
132796156
14193db80
151175860
hexbf1684

12523140 has 96 divisors (see below), whose sum is σ = 44540160. Its totient is φ = 2861568.

The previous prime is 12523139. The next prime is 12523151. The reversal of 12523140 is 4132521.

12523140 is a `hidden beast` number, since 1 + 2 + 523 + 140 = 666.

12523140 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

12523140 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (463960).

Almost surely, 212523140 is an apocalyptic number.

12523140 is a gapful number since it is divisible by the number (10) 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 12523140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270080).

12523140 is an abundant number, since it is smaller than the sum of its proper divisors (32017020).

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

12523140 is a wasteful number, since it uses less digits than its factorization.

12523140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12523140 is about 3538.8048830078. The cubic root of 12523140 is about 232.2225618897. Note that the first 3 decimals are identical.

Adding to 12523140 its reverse (4132521), we get a palindrome (16655661).

The spelling of 12523140 in words is "twelve million, five hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3313 3780 6626 9939 13252 16565 19878 23191 29817 33130 39756 46382 49695 59634 66260 69573 89451 92764 99390 115955 119268 139146 149085 178902 198780 208719 231910 278292 298170 347865 357804 417438 447255 463820 596340 626157 695730 834876 894510 1043595 1252314 1391460 1789020 2087190 2504628 3130785 4174380 6261570 12523140