Search a number
-
+
12113640 = 233257111923
BaseRepresentation
bin101110001101…
…011011101000
3211210102210100
4232031123220
511100114030
61111345400
7204651510
oct56153350
924712710
1012113640
116924180
124082260
132681946
141874840
1510e4360
hexb8d6e8

12113640 has 384 divisors, whose sum is σ = 53913600. Its totient is φ = 2280960.

The previous prime is 12113599. The next prime is 12113657. The reversal of 12113640 is 4631121.

It is a happy number.

12113640 is a `hidden beast` number, since 1 + 21 + 1 + 3 + 640 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 526669 + ... + 526691.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 212113640 is an apocalyptic number.

12113640 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 12113640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

12113640 is an abundant number, since it is smaller than the sum of its proper divisors (41799960).

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

12113640 is a wasteful number, since it uses less digits than its factorization.

12113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12113640 is about 3480.4654861096. The cubic root of 12113640 is about 229.6632753849.

Adding to 12113640 its reverse (4631121), we get a palindrome (16744761).

It can be divided in two parts, 1211 and 3640, that added together give a triangular number (4851 = T98).

The spelling of 12113640 in words is "twelve million, one hundred thirteen thousand, six hundred forty".