Search a number
-
+
12135030 = 2352343409
BaseRepresentation
bin101110010010…
…101001110110
3211211112010120
4232102221312
511101310110
61112032410
7205101045
oct56225166
924745116
1012135030
116939256
124092706
13268b5bb
14187c55c
1510ea870
hexb92a76

12135030 has 64 divisors (see below), whose sum is σ = 31173120. Its totient is φ = 3015936.

The previous prime is 12135023. The next prime is 12135031. The reversal of 12135030 is 3053121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29466 + ... + 29874.

It is an arithmetic number, because the mean of its divisors is an integer number (487080).

Almost surely, 212135030 is an apocalyptic number.

12135030 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 12135030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586560).

12135030 is an abundant number, since it is smaller than the sum of its proper divisors (19038090).

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

12135030 is a wasteful number, since it uses less digits than its factorization.

12135030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 12135030 is about 3483.5369956411. The cubic root of 12135030 is about 229.7983740240.

Adding to 12135030 its reverse (3053121), we get a palindrome (15188151).

The spelling of 12135030 in words is "twelve million, one hundred thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 43 46 69 86 115 129 138 215 230 258 345 409 430 645 690 818 989 1227 1290 1978 2045 2454 2967 4090 4945 5934 6135 9407 9890 12270 14835 17587 18814 28221 29670 35174 47035 52761 56442 87935 94070 105522 141105 175870 263805 282210 404501 527610 809002 1213503 2022505 2427006 4045010 6067515 12135030