Search a number
-
+
12128940 = 223457487
BaseRepresentation
bin101110010001…
…001010101100
3211211012210000
4232101022230
511101111230
61111544300
7205044225
oct56211254
924735700
1012128940
11693471a
12408b090
1326888b5
14187a24c
1510e8b60
hexb912ac

12128940 has 60 divisors (see below), whose sum is σ = 38054016. Its totient is φ = 3233952.

The previous prime is 12128929. The next prime is 12128947. The reversal of 12128940 is 4982121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×121289402 = 294222371047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12128947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2124 + ... + 5363.

Almost surely, 212128940 is an apocalyptic number.

12128940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12128940 is an abundant number, since it is smaller than the sum of its proper divisors (25925076).

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

12128940 is a wasteful number, since it uses less digits than its factorization.

12128940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12128940 is about 3482.6627743725. The cubic root of 12128940 is about 229.7599259313.

The spelling of 12128940 in words is "twelve million, one hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7487 14974 22461 29948 37435 44922 67383 74870 89844 112305 134766 149740 202149 224610 269532 336915 404298 449220 606447 673830 808596 1010745 1212894 1347660 2021490 2425788 3032235 4042980 6064470 12128940