Search a number
-
+
12468810 = 235415627
BaseRepresentation
bin101111100100…
…001001001010
3212110110222210
4233210021022
511143000220
61123125550
7210661134
oct57441112
925413883
1012468810
117047002
1242138b6
1327774c3
141928054
1511646e0
hexbe424a

12468810 has 16 divisors (see below), whose sum is σ = 29925216. Its totient is φ = 3325008.

The previous prime is 12468791. The next prime is 12468823. The reversal of 12468810 is 1886421.

It is a super-2 number, since 2×124688102 = 310942445632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 415627 = 12468810 / (1 + 2 + 4 + 6 + 8 + 8 + 1 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207784 + ... + 207843.

It is an arithmetic number, because the mean of its divisors is an integer number (1870326).

Almost surely, 212468810 is an apocalyptic number.

12468810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12468810 is an abundant number, since it is smaller than the sum of its proper divisors (17456406).

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

12468810 is a wasteful number, since it uses less digits than its factorization.

12468810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415637.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12468810 is about 3531.1202188541. The cubic root of 12468810 is about 231.8862527021.

The spelling of 12468810 in words is "twelve million, four hundred sixty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 415627 831254 1246881 2078135 2493762 4156270 6234405 12468810