Search a number
-
+
12661650 = 2335283113
BaseRepresentation
bin110000010011…
…001110010010
3212211021112000
4300103032102
511220133100
61131214430
7212423301
oct60231622
925737460
1012661650
117168981
1242a7416
132814201
141978438
1511a1900
hexc13392

12661650 has 96 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 3306240.

The previous prime is 12661637. The next prime is 12661667. The reversal of 12661650 is 5616621.

It is a happy number.

12661650 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 1 + 650 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111994 + ... + 112106.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 212661650 is an apocalyptic number.

12661650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12661650 is an abundant number, since it is smaller than the sum of its proper divisors (22961070).

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

12661650 is a wasteful number, since it uses less digits than its factorization.

12661650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12661650 is about 3558.3212333908. The cubic root of 12661650 is about 233.0755770473.

It can be divided in two parts, 1266 and 1650, that added together give a square (2916 = 542).

The spelling of 12661650 in words is "twelve million, six hundred sixty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 83 90 113 135 150 166 225 226 249 270 339 415 450 498 565 675 678 747 830 1017 1130 1245 1350 1494 1695 2034 2075 2241 2490 2825 3051 3390 3735 4150 4482 5085 5650 6102 6225 7470 8475 9379 10170 11205 12450 15255 16950 18675 18758 22410 25425 28137 30510 37350 46895 50850 56025 56274 76275 84411 93790 112050 140685 152550 168822 234475 253233 281370 422055 468950 506466 703425 844110 1266165 1406850 2110275 2532330 4220550 6330825 12661650