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12420300 = 22352192179
BaseRepresentation
bin101111011000…
…010011001100
3212101000110010
4233120103030
511134422200
61122113220
7210366534
oct57302314
925330403
1012420300
117013612
1241ab810
13275b3b9
1419144c4
151155150
hexbd84cc

12420300 has 72 divisors (see below), whose sum is σ = 37844800. Its totient is φ = 3136320.

The previous prime is 12420277. The next prime is 12420311. The reversal of 12420300 is 302421.

12420300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4611 + ... + 6789.

Almost surely, 212420300 is an apocalyptic number.

12420300 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 12420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922400).

12420300 is an abundant number, since it is smaller than the sum of its proper divisors (25424500).

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

12420300 is a wasteful number, since it uses less digits than its factorization.

12420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12420300 is about 3524.2445999107. The cubic root of 12420300 is about 231.5851434655.

Adding to 12420300 its reverse (302421), we get a palindrome (12722721).

It can be divided in two parts, 12420 and 300, that added together give a triangular number (12720 = T159).

The spelling of 12420300 in words is "twelve million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2179 2850 4358 5700 6537 8716 10895 13074 21790 26148 32685 41401 43580 54475 65370 82802 108950 124203 130740 163425 165604 207005 217900 248406 326850 414010 496812 621015 653700 828020 1035025 1242030 2070050 2484060 3105075 4140100 6210150 12420300