Search a number
-
+
12079700 = 22521131069
BaseRepresentation
bin101110000101…
…001001010100
3211201201020022
4232011021110
511043022300
61110524312
7204450533
oct56051124
924651208
1012079700
116900726
124066698
13266c369
14186631a
1510d9285
hexb85254

12079700 has 36 divisors (see below), whose sum is σ = 26469660. Its totient is φ = 4784640.

The previous prime is 12079679. The next prime is 12079709. The reversal of 12079700 is 797021.

It can be written as a sum of positive squares in 6 ways, for example, as 2617924 + 9461776 = 1618^2 + 3076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12079700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12079709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10766 + ... + 11834.

Almost surely, 212079700 is an apocalyptic number.

12079700 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 12079700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234830).

12079700 is an abundant number, since it is smaller than the sum of its proper divisors (14389960).

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

12079700 is a wasteful number, since it uses less digits than its factorization.

12079700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 12079700 is about 3475.5862814783. The cubic root of 12079700 is about 229.4485845428.

The spelling of 12079700 in words is "twelve million, seventy-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1069 1130 2138 2260 2825 4276 5345 5650 10690 11300 21380 26725 53450 106900 120797 241594 483188 603985 1207970 2415940 3019925 6039850 12079700