Search a number
-
+
12042300 = 22352137293
BaseRepresentation
bin101101111100…
…000000111100
3211122210221010
4231330000330
511040323200
61110035220
7204233514
oct55740074
924583833
1012042300
116885616
124048b10
13265832a
141856844
1510cd150
hexb7c03c

12042300 has 72 divisors (see below), whose sum is σ = 35216496. Its totient is φ = 3176960.

The previous prime is 12042287. The next prime is 12042301. The reversal of 12042300 is 324021.

Adding to 12042300 its reverse (324021), we get a palindrome (12366321).

12042300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40954 + ... + 41246.

It is an arithmetic number, because the mean of its divisors is an integer number (489118).

Almost surely, 212042300 is an apocalyptic number.

12042300 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 12042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608248).

12042300 is an abundant number, since it is smaller than the sum of its proper divisors (23174196).

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

12042300 is a wasteful number, since it uses less digits than its factorization.

12042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12042300 is about 3470.2017232432. The cubic root of 12042300 is about 229.2115408910.

The spelling of 12042300 in words is "twelve million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 293 300 411 548 586 685 822 879 1172 1370 1465 1644 1758 2055 2740 2930 3425 3516 4110 4395 5860 6850 7325 8220 8790 10275 13700 14650 17580 20550 21975 29300 40141 41100 43950 80282 87900 120423 160564 200705 240846 401410 481692 602115 802820 1003525 1204230 2007050 2408460 3010575 4014100 6021150 12042300