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12147460 = 22513192459
BaseRepresentation
bin101110010101…
…101100000100
3211212011011221
4232111230010
511102204320
61112210124
7205152223
oct56255404
924764157
1012147460
116947626
124099944
132694160
141882cba
1510ee3aa
hexb95b04

12147460 has 48 divisors (see below), whose sum is σ = 28929600. Its totient is φ = 4247424.

The previous prime is 12147397. The next prime is 12147463. The reversal of 12147460 is 6474121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3711 + ... + 6169.

It is an arithmetic number, because the mean of its divisors is an integer number (602700).

Almost surely, 212147460 is an apocalyptic number.

12147460 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 12147460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464800).

12147460 is an abundant number, since it is smaller than the sum of its proper divisors (16782140).

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

12147460 is a wasteful number, since it uses less digits than its factorization.

12147460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 12147460 is about 3485.3206452205. The cubic root of 12147460 is about 229.8768086349.

The spelling of 12147460 in words is "twelve million, one hundred forty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2459 2470 4918 4940 9836 12295 24590 31967 46721 49180 63934 93442 127868 159835 186884 233605 319670 467210 607373 639340 934420 1214746 2429492 3036865 6073730 12147460