Search a number
-
+
12138525 = 335272367
BaseRepresentation
bin101110010011…
…100000011101
3211211200221000
4232103200131
511101413100
61112100513
7205114200
oct56234035
924750830
1012138525
116940943
124094739
132690079
14187d937
1510eb900
hexb9381d

12138525 has 72 divisors (see below), whose sum is σ = 26010240. Its totient is φ = 5533920.

The previous prime is 12138523. The next prime is 12138541. The reversal of 12138525 is 52583121.

It is a happy number.

12138525 is a `hidden beast` number, since 1 + 2 + 138 + 525 = 666.

12138525 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12138525 - 21 = 12138523 is a prime.

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

Its product of digits (2400) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32892 + ... + 33258.

Almost surely, 212138525 is an apocalyptic number.

12138525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12138525 is an abundant number, since it is smaller than the sum of its proper divisors (13871715).

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

12138525 is a wasteful number, since it uses less digits than its factorization.

12138525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12138525 is about 3484.0386048378. The cubic root of 12138525 is about 229.8204332532.

The spelling of 12138525 in words is "twelve million, one hundred thirty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 367 441 525 675 735 945 1101 1225 1323 1575 1835 2205 2569 3303 3675 4725 5505 6615 7707 9175 9909 11025 12845 16515 17983 23121 27525 33075 38535 49545 53949 64225 69363 82575 89915 115605 161847 192675 247725 269745 346815 449575 485541 578025 809235 1348725 1734075 2427705 4046175 12138525