Search a number
-
+
12678420 = 2235375711
BaseRepresentation
bin110000010111…
…010100010100
3212212010112010
4300113110110
511221202140
61131424220
7212523216
oct60272424
925763463
1012678420
11717a537
1242b5070
13281ba31
1419805b6
1511a6880
hexc17514

12678420 has 48 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 3288960.

The previous prime is 12678371. The next prime is 12678427. The reversal of 12678420 is 2487621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678427) 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, 636 + ... + 5075.

It is an arithmetic number, because the mean of its divisors is an integer number (759696).

Almost surely, 212678420 is an apocalyptic number.

12678420 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 12678420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704).

12678420 is an abundant number, since it is smaller than the sum of its proper divisors (23786988).

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

12678420 is a wasteful number, since it uses less digits than its factorization.

12678420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12678420 is about 3560.6769019387. The cubic root of 12678420 is about 233.1784323374.

The spelling of 12678420 in words is "twelve million, six hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5711 11422 17133 22844 28555 34266 57110 68532 85665 114220 171330 211307 342660 422614 633921 845228 1056535 1267842 2113070 2535684 3169605 4226140 6339210 12678420