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12540260 = 225412373
BaseRepresentation
bin101111110101…
…100101100100
3212121010000002
4233311211210
511202242020
61124440432
7211406345
oct57654544
925533002
1012540260
117095757
124249118
1327a0b95
1419460cc
15117a975
hexbf5964

12540260 has 36 divisors (see below), whose sum is σ = 27064884. Its totient is φ = 4880640.

The previous prime is 12540259. The next prime is 12540263. The reversal of 12540260 is 6204521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4153444 + 8386816 = 2038^2 + 2896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12540263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33434 + ... + 33806.

Almost surely, 212540260 is an apocalyptic number.

12540260 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 12540260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13532442).

12540260 is an abundant number, since it is smaller than the sum of its proper divisors (14524624).

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

12540260 is a wasteful number, since it uses less digits than its factorization.

12540260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12540260 is about 3541.2229525970. Note that the first 3 decimals coincide. The cubic root of 12540260 is about 232.3283351481.

Adding to 12540260 its reverse (6204521), we get a palindrome (18744781).

The spelling of 12540260 in words is "twelve million, five hundred forty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 373 410 746 820 1492 1681 1865 3362 3730 6724 7460 8405 15293 16810 30586 33620 61172 76465 152930 305860 627013 1254026 2508052 3135065 6270130 12540260