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12540164 = 2271347733
BaseRepresentation
bin101111110101…
…100100000100
3212121002212112
4233311210010
511202241124
61124440152
7211406150
oct57654404
925532775
1012540164
11709567a
124249058
1327a0b20
141946060
15117a90e
hexbf5904

12540164 has 48 divisors (see below), whose sum is σ = 27621888. Its totient is φ = 4848768.

The previous prime is 12540149. The next prime is 12540167. The reversal of 12540164 is 46104521.

12540164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12540167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16742 + ... + 17474.

It is an arithmetic number, because the mean of its divisors is an integer number (575456).

Almost surely, 212540164 is an apocalyptic number.

12540164 is a gapful number since it is divisible by the number (14) 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 12540164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810944).

12540164 is an abundant number, since it is smaller than the sum of its proper divisors (15081724).

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

12540164 is a wasteful number, since it uses less digits than its factorization.

12540164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12540164 is about 3541.2093979317. The cubic root of 12540164 is about 232.3277422955.

Adding to 12540164 its reverse (46104521), we get a palindrome (58644685).

The spelling of 12540164 in words is "twelve million, five hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 733 1222 1316 1466 2444 2932 4277 5131 8554 9529 10262 17108 19058 20524 34451 38116 66703 68902 133406 137804 241157 266812 447863 482314 895726 964628 1791452 3135041 6270082 12540164