Search a number
-
+
12903420 = 22351091973
BaseRepresentation
bin110001001110…
…001111111100
3220021120011110
4301032033330
511300402140
61140322020
7214451205
oct61161774
926246143
1012903420
117313592
1243a3310
13289a27a
1419dc5ac
1511ed380
hexc4e3fc

12903420 has 48 divisors (see below), whose sum is σ = 36479520. Its totient is φ = 3407616.

The previous prime is 12903383. The next prime is 12903421. The reversal of 12903420 is 2430921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5554 + ... + 7526.

It is an arithmetic number, because the mean of its divisors is an integer number (759990).

Almost surely, 212903420 is an apocalyptic number.

12903420 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 12903420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239760).

12903420 is an abundant number, since it is smaller than the sum of its proper divisors (23576100).

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

12903420 is a wasteful number, since it uses less digits than its factorization.

12903420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12903420 is about 3592.1330710318. The cubic root of 12903420 is about 234.5497338758.

The spelling of 12903420 in words is "twelve million, nine hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 1973 2180 3270 3946 5919 6540 7892 9865 11838 19730 23676 29595 39460 59190 118380 215057 430114 645171 860228 1075285 1290342 2150570 2580684 3225855 4301140 6451710 12903420