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12235140 = 22325101673
BaseRepresentation
bin101110101011…
…000110000100
3212000121110100
4232223012010
511113011030
61114124100
7205665651
oct56530604
925017410
1012235140
1169a7495
124120630
1326c5038
1418a6c28
15111a360
hexbab184

12235140 has 72 divisors (see below), whose sum is σ = 37536408. Its totient is φ = 3225600.

The previous prime is 12235109. The next prime is 12235147. The reversal of 12235140 is 4153221.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 9144576 = 1758^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12235147) 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 23 ways as a sum of consecutive naturals, for example, 17844 + ... + 18516.

It is an arithmetic number, because the mean of its divisors is an integer number (521339).

Almost surely, 212235140 is an apocalyptic number.

12235140 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 12235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768204).

12235140 is an abundant number, since it is smaller than the sum of its proper divisors (25301268).

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

12235140 is a wasteful number, since it uses less digits than its factorization.

12235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12235140 is about 3497.8764986774. The cubic root of 12235140 is about 230.4285645285.

Adding to 12235140 its reverse (4153221), we get a palindrome (16388361).

The spelling of 12235140 in words is "twelve million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 673 909 1010 1212 1346 1515 1818 2019 2020 2692 3030 3365 3636 4038 4545 6057 6060 6730 8076 9090 10095 12114 13460 18180 20190 24228 30285 40380 60570 67973 121140 135946 203919 271892 339865 407838 611757 679730 815676 1019595 1223514 1359460 2039190 2447028 3058785 4078380 6117570 12235140