Search a number
-
+
12023792 = 2411531289
BaseRepresentation
bin101101110111…
…011111110000
3211121212112122
4231313133300
511034230132
61105413412
7204125534
oct55673760
924555478
1012023792
116872720
12403a268
13264ca91
14184dbc4
1510c7912
hexb777f0

12023792 has 40 divisors (see below), whose sum is σ = 25913520. Its totient is φ = 5358080.

The previous prime is 12023773. The next prime is 12023797. The reversal of 12023792 is 29732021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8684 + ... + 9972.

It is an arithmetic number, because the mean of its divisors is an integer number (647838).

Almost surely, 212023792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956760).

12023792 is an abundant number, since it is smaller than the sum of its proper divisors (13889728).

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

12023792 is a wasteful number, since it uses less digits than its factorization.

12023792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 12023792 is about 3467.5339940655. The cubic root of 12023792 is about 229.0940544091.

It can be divided in two parts, 1202 and 3792, that added together give a palindrome (4994).

The spelling of 12023792 in words is "twelve million, twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1289 2332 2578 4664 5156 9328 10312 14179 20624 28358 56716 68317 113432 136634 226864 273268 546536 751487 1093072 1502974 3005948 6011896 12023792