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12424160 = 255711093
BaseRepresentation
bin101111011001…
…001111100000
3212101012202002
4233121033200
511140033120
61122143132
7210414020
oct57311740
925335662
1012424160
117016501
1241b1aa8
132760098
141915a80
151156375
hexbd93e0

12424160 has 48 divisors (see below), whose sum is σ = 33548256. Its totient is φ = 4259328.

The previous prime is 12424123. The next prime is 12424177. The reversal of 12424160 is 6142421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4427 + ... + 6666.

It is an arithmetic number, because the mean of its divisors is an integer number (698922).

Almost surely, 212424160 is an apocalyptic number.

12424160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424160 is an abundant number, since it is smaller than the sum of its proper divisors (21124096).

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

12424160 is a wasteful number, since it uses less digits than its factorization.

12424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12424160 is about 3524.7921924562. The cubic root of 12424160 is about 231.6091317767.

Adding to 12424160 its reverse (6142421), we get a palindrome (18566581).

The spelling of 12424160 in words is "twelve million, four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 11093 22186 44372 55465 77651 88744 110930 155302 177488 221860 310604 354976 388255 443720 621208 776510 887440 1242416 1553020 1774880 2484832 3106040 6212080 12424160