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12731620 = 2251125261
BaseRepresentation
bin110000100100…
…010011100100
3212221211111111
4300210103210
511224402440
61132514404
7213134266
oct60442344
925854444
1012731620
117206500
12431ba04
13283a005
141995b36
1511b74ea
hexc244e4

12731620 has 36 divisors (see below), whose sum is σ = 29393532. Its totient is φ = 4628800.

The previous prime is 12731611. The next prime is 12731629. The reversal of 12731620 is 2613721.

It is an interprime number because it is at equal distance from previous prime (12731611) and next prime (12731629).

It can be written as a sum of positive squares in 2 ways, for example, as 7086244 + 5645376 = 2662^2 + 2376^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12731591 and 12731600.

It is not an unprimeable number, because it can be changed into a prime (12731629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 5050.

It is an arithmetic number, because the mean of its divisors is an integer number (816487).

Almost surely, 212731620 is an apocalyptic number.

12731620 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 12731620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696766).

12731620 is an abundant number, since it is smaller than the sum of its proper divisors (16661912).

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

12731620 is a wasteful number, since it uses less digits than its factorization.

12731620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 12731620 is about 3568.1395712612. The cubic root of 12731620 is about 233.5041243901.

The spelling of 12731620 in words is "twelve million, seven hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5261 10522 21044 26305 52610 57871 105220 115742 231484 289355 578710 636581 1157420 1273162 2546324 3182905 6365810 12731620