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12299040 = 253451373
BaseRepresentation
bin101110111010…
…101100100000
3212010212010000
4232322230200
511122032130
61115340000
7206353155
oct56725440
925125100
1012299040
116a404a6
124151600
132718150
1418c222c
15112e260
hexbbab20

12299040 has 240 divisors, whose sum is σ = 47384568. Its totient is φ = 2985984.

The previous prime is 12299011. The next prime is 12299047. The reversal of 12299040 is 4099221.

12299040 is nontrivially palindromic in base 11.

12299040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 4210704 = 2844^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12298995 and 12299013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12299047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168444 + ... + 168516.

Almost surely, 212299040 is an apocalyptic number.

12299040 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 12299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23692284).

12299040 is an abundant number, since it is smaller than the sum of its proper divisors (35085528).

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

12299040 is a wasteful number, since it uses less digits than its factorization.

12299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12299040 is about 3506.9987168518. The cubic root of 12299040 is about 230.8290183551.

The spelling of 12299040 in words is "twelve million, two hundred ninety-nine thousand, forty".