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12505440 = 253526053
BaseRepresentation
bin101111101101…
…000101100000
3212112100020110
4233231011200
511200133230
61124011320
7211203003
oct57550540
925470213
1012505440
117071582
124230b40
13278b08c
14193753a
1511704b0
hexbed160

12505440 has 48 divisors (see below), whose sum is σ = 39393648. Its totient is φ = 3334656.

The previous prime is 12505417. The next prime is 12505457. The reversal of 12505440 is 4450521.

12505440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12547 + ... + 13506.

It is an arithmetic number, because the mean of its divisors is an integer number (820701).

Almost surely, 212505440 is an apocalyptic number.

12505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12505440 is an abundant number, since it is smaller than the sum of its proper divisors (26888208).

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

12505440 is a wasteful number, since it uses less digits than its factorization.

12505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26071 (or 26063 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 12505440 is about 3536.3031544255. The cubic root of 12505440 is about 232.1131037889.

Adding to 12505440 its reverse (4450521), we get a palindrome (16955961).

It can be divided in two parts, 1 and 2505440, that added together give a triangular number (2505441 = T2238).

The spelling of 12505440 in words is "twelve million, five hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26053 52106 78159 104212 130265 156318 208424 260530 312636 390795 416848 521060 625272 781590 833696 1042120 1250544 1563180 2084240 2501088 3126360 4168480 6252720 12505440