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12416220 = 2233522993
BaseRepresentation
bin101111010111…
…010011011100
3212100210212000
4233113103130
511134304340
61122042300
7210351615
oct57272334
925323760
1012416220
117010543
1241a9390
13275959b
141912c0c
151153d30
hexbd74dc

12416220 has 48 divisors (see below), whose sum is σ = 38629920. Its totient is φ = 3310848.

The previous prime is 12416203. The next prime is 12416221. The reversal of 12416220 is 2261421.

12416220 is a `hidden beast` number, since 1 + 2 + 41 + 622 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12416193 and 12416202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416221) 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, 10957 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (804790).

Almost surely, 212416220 is an apocalyptic number.

12416220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416220 is an abundant number, since it is smaller than the sum of its proper divisors (26213700).

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

12416220 is a wasteful number, since it uses less digits than its factorization.

12416220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23011 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12416220 is about 3523.6657049158. The cubic root of 12416220 is about 231.5597825412.

Adding to 12416220 its reverse (2261421), we get a palindrome (14677641).

The spelling of 12416220 in words is "twelve million, four hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22993 45986 68979 91972 114965 137958 206937 229930 275916 344895 413874 459860 620811 689790 827748 1034685 1241622 1379580 2069370 2483244 3104055 4138740 6208110 12416220