Search a number
-
+
12420180 = 2232569001
BaseRepresentation
bin101111011000…
…010001010100
3212101000021200
4233120101110
511134421210
61122112500
7210366303
oct57302124
925330250
1012420180
117013513
1241ab730
13275b326
14191443a
1511550c0
hexbd8454

12420180 has 36 divisors (see below), whose sum is σ = 37675092. Its totient is φ = 3312000.

The previous prime is 12420151. The next prime is 12420211. The reversal of 12420180 is 8102421.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 10771524 = 1284^2 + 3282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 34321 + ... + 34680.

Almost surely, 212420180 is an apocalyptic number.

12420180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420180 is an abundant number, since it is smaller than the sum of its proper divisors (25254912).

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

12420180 is a wasteful number, since it uses less digits than its factorization.

12420180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69016 (or 69011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12420180 is about 3524.2275749446. The cubic root of 12420180 is about 231.5843976352.

The spelling of 12420180 in words is "twelve million, four hundred twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 69001 138002 207003 276004 345005 414006 621009 690010 828012 1035015 1242018 1380020 2070030 2484036 3105045 4140060 6210090 12420180