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12890420 = 22517311223
BaseRepresentation
bin110001001011…
…000100110100
3220020220022222
4301023010310
511244443140
61140141512
7214365254
oct61130464
926226288
1012890420
117304844
124397898
13289438a
1419d7964
1511e95b5
hexc4b134

12890420 has 48 divisors (see below), whose sum is σ = 29611008. Its totient is φ = 4692480.

The previous prime is 12890401. The next prime is 12890429. The reversal of 12890420 is 2409821.

It is a self number, because there is not a number n which added to its sum of digits gives 12890420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890429) 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, 9929 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 212890420 is an apocalyptic number.

12890420 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 12890420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504).

12890420 is an abundant number, since it is smaller than the sum of its proper divisors (16720588).

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

12890420 is a wasteful number, since it uses less digits than its factorization.

12890420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12890420 is about 3590.3231052372. The cubic root of 12890420 is about 234.4709389749.

The spelling of 12890420 in words is "twelve million, eight hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 1223 2108 2446 2635 4892 5270 6115 10540 12230 20791 24460 37913 41582 75826 83164 103955 151652 189565 207910 379130 415820 644521 758260 1289042 2578084 3222605 6445210 12890420