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12004380 = 22325173923
BaseRepresentation
bin101101110010…
…110000011100
3211120212220200
4231302300130
511033120010
61105143500
7204015123
oct55626034
924525820
1012004380
11685a083
12402ab90
132643cab
141846aba
1510c1cc0
hexb72c1c

12004380 has 72 divisors (see below), whose sum is σ = 38565072. Its totient is φ = 3012096.

The previous prime is 12004357. The next prime is 12004381. The reversal of 12004380 is 8340021.

It is a happy number.

12004380 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004381) 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, 1099 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (535626).

Almost surely, 212004380 is an apocalyptic number.

12004380 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 12004380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282536).

12004380 is an abundant number, since it is smaller than the sum of its proper divisors (26560692).

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

12004380 is a wasteful number, since it uses less digits than its factorization.

12004380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12004380 is about 3464.7337560049. The cubic root of 12004380 is about 228.9706998356.

The spelling of 12004380 in words is "twelve million, four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3923 7846 11769 15692 19615 23538 35307 39230 47076 58845 66691 70614 78460 117690 133382 141228 176535 200073 235380 266764 333455 353070 400146 600219 666910 706140 800292 1000365 1200438 1333820 2000730 2400876 3001095 4001460 6002190 12004380