Search a number
-
+
12910020 = 22351032089
BaseRepresentation
bin110001001111…
…110111000100
3220021220012220
4301033313010
511301110040
61140412340
7214506354
oct61176704
926256186
1012910020
117318542
1243a70b0
1328a0286
141a00b64
1512002d0
hexc4fdc4

12910020 has 48 divisors (see below), whose sum is σ = 36516480. Its totient is φ = 3407616.

The previous prime is 12910013. The next prime is 12910031. The reversal of 12910020 is 2001921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5136 + ... + 7224.

It is an arithmetic number, because the mean of its divisors is an integer number (760760).

Almost surely, 212910020 is an apocalyptic number.

12910020 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 12910020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258240).

12910020 is an abundant number, since it is smaller than the sum of its proper divisors (23606460).

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

12910020 is a wasteful number, since it uses less digits than its factorization.

12910020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12910020 is about 3593.0516277950. The cubic root of 12910020 is about 234.5897171873.

Adding to 12910020 its reverse (2001921), we get a palindrome (14911941).

The spelling of 12910020 in words is "twelve million, nine hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 2089 3090 4178 6180 6267 8356 10445 12534 20890 25068 31335 41780 62670 125340 215167 430334 645501 860668 1075835 1291002 2151670 2582004 3227505 4303340 6455010 12910020