Search a number
-
+
12630420 = 22325116379
BaseRepresentation
bin110000001011…
…100110010100
3212202200200100
4300023212110
511213133140
61130414100
7212233245
oct60134624
925680610
1012630420
117147470
124291330
132802c2a
14196accc
151197530
hexc0b994

12630420 has 72 divisors (see below), whose sum is σ = 41801760. Its totient is φ = 3061440.

The previous prime is 12630407. The next prime is 12630461. The reversal of 12630420 is 2403621.

It is a happy number.

12630420 is a `hidden beast` number, since 12 + 630 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12630393 and 12630402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (580580).

Almost surely, 212630420 is an apocalyptic number.

12630420 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 12630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900880).

12630420 is an abundant number, since it is smaller than the sum of its proper divisors (29171340).

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

12630420 is a wasteful number, since it uses less digits than its factorization.

12630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12630420 is about 3553.9302187860. The cubic root of 12630420 is about 232.8837920639.

The spelling of 12630420 in words is "twelve million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6379 12758 19137 25516 31895 38274 57411 63790 70169 76548 95685 114822 127580 140338 191370 210507 229644 280676 287055 350845 382740 421014 574110 631521 701690 842028 1052535 1148220 1263042 1403380 2105070 2526084 3157605 4210140 6315210 12630420