Search a number
-
+
12542940 = 22325174099
BaseRepresentation
bin101111110110…
…001111011100
3212121020200100
4233312033130
511202333230
61124501100
7211420224
oct57661734
925536610
1012542940
117097773
12424a790
1327a2177
141947084
15117b660
hexbf63dc

12542940 has 72 divisors (see below), whose sum is σ = 40294800. Its totient is φ = 3147264.

The previous prime is 12542939. The next prime is 12542947. The reversal of 12542940 is 4924521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (559650).

Almost surely, 212542940 is an apocalyptic number.

12542940 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 12542940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147400).

12542940 is an abundant number, since it is smaller than the sum of its proper divisors (27751860).

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

12542940 is a wasteful number, since it uses less digits than its factorization.

12542940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12542940 is about 3541.6013327307. The cubic root of 12542940 is about 232.3448843954.

The spelling of 12542940 in words is "twelve million, five hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4099 8198 12297 16396 20495 24594 36891 40990 49188 61485 69683 73782 81980 122970 139366 147564 184455 209049 245940 278732 348415 368910 418098 627147 696830 737820 836196 1045245 1254294 1393660 2090490 2508588 3135735 4180980 6271470 12542940