Search a number
-
+
12600040 = 2351959281
BaseRepresentation
bin110000000100…
…001011101000
3212201011000011
4300010023220
511211200130
61130021304
7212045545
oct60041350
925634004
1012600040
117126662
124277834
1327c215b
14195dbcc
15118d52a
hexc042e8

12600040 has 64 divisors (see below), whose sum is σ = 30456000. Its totient is φ = 4677120.

The previous prime is 12600037. The next prime is 12600047. The reversal of 12600040 is 4000621.

It is a super-2 number, since 2×126000402 = 317522016003200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12600047) 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, 44700 + ... + 44980.

It is an arithmetic number, because the mean of its divisors is an integer number (475875).

Almost surely, 212600040 is an apocalyptic number.

12600040 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 12600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228000).

12600040 is an abundant number, since it is smaller than the sum of its proper divisors (17855960).

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

12600040 is a wasteful number, since it uses less digits than its factorization.

12600040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12600040 is about 3549.6535042170. The cubic root of 12600040 is about 232.6969233847.

Adding to 12600040 its reverse (4000621), we get a palindrome (16600661).

The spelling of 12600040 in words is "twelve million, six hundred thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 236 281 295 380 472 562 590 760 1121 1124 1180 1405 2242 2248 2360 2810 4484 5339 5605 5620 8968 10678 11210 11240 16579 21356 22420 26695 33158 42712 44840 53390 66316 82895 106780 132632 165790 213560 315001 331580 630002 663160 1260004 1575005 2520008 3150010 6300020 12600040