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12270528 = 2636263
BaseRepresentation
bin101110110011…
…101111000000
3212002102000000
4232303233000
511120124103
61115000000
7206204064
oct56635700
925072000
1012270528
116a21036
124139000
13270818a
1418b5aa4
151125aa3
hexbb3bc0

12270528 has 98 divisors (see below), whose sum is σ = 36646104. Its totient is φ = 4074624.

The previous prime is 12270487. The next prime is 12270541. The reversal of 12270528 is 82507221.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13 ways as a sum of consecutive naturals, for example, 46525 + ... + 46787.

Almost surely, 212270528 is an apocalyptic number.

12270528 is a gapful number since it is divisible by the number (18) 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 12270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18323052).

12270528 is an abundant number, since it is smaller than the sum of its proper divisors (24375576).

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

12270528 is an frugal number, since it uses more digits than its factorization.

12270528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12270528 is about 3502.9313438890. The cubic root of 12270528 is about 230.6505087787.

Adding to 12270528 its reverse (82507221), we get a palindrome (94777749).

The spelling of 12270528 in words is "twelve million, two hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 263 288 324 432 486 526 576 648 729 789 864 972 1052 1296 1458 1578 1728 1944 2104 2367 2592 2916 3156 3888 4208 4734 5184 5832 6312 7101 7776 8416 9468 11664 12624 14202 15552 16832 18936 21303 23328 25248 28404 37872 42606 46656 50496 56808 63909 75744 85212 113616 127818 151488 170424 191727 227232 255636 340848 383454 454464 511272 681696 766908 1022544 1363392 1533816 2045088 3067632 4090176 6135264 12270528