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12275020 = 2251779457
BaseRepresentation
bin101110110100…
…110101001100
3212002122011101
4232310311030
511120300040
61115032444
7206223142
oct56646514
925078141
1012275020
116a2444a
12413b724
13270a234
1418b7592
15112709a
hexbb4d4c

12275020 has 48 divisors (see below), whose sum is σ = 27699840. Its totient is φ = 4552704.

The previous prime is 12275017. The next prime is 12275027. The reversal of 12275020 is 2057221.

It is a super-2 number, since 2×122750202 = 301352232000800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12275027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26632 + ... + 27088.

It is an arithmetic number, because the mean of its divisors is an integer number (577080).

Almost surely, 212275020 is an apocalyptic number.

12275020 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 12275020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849920).

12275020 is an abundant number, since it is smaller than the sum of its proper divisors (15424820).

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

12275020 is a wasteful number, since it uses less digits than its factorization.

12275020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12275020 is about 3503.5724625017. The cubic root of 12275020 is about 230.6786508896.

The spelling of 12275020 in words is "twelve million, two hundred seventy-five thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 457 790 914 1343 1580 1828 2285 2686 4570 5372 6715 7769 9140 13430 15538 26860 31076 36103 38845 72206 77690 144412 155380 180515 361030 613751 722060 1227502 2455004 3068755 6137510 12275020