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12252096 = 263289239
BaseRepresentation
bin101110101111…
…001111000000
3212001110201100
4232233033000
511114031341
61114334400
7206066253
oct56571700
925043640
1012252096
116a091aa
12412a400
1326cc97c
1418ad09a
1511203b6
hexbaf3c0

12252096 has 84 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 4021248.

The previous prime is 12252091. The next prime is 12252103. The reversal of 12252096 is 69025221.

It is a super-2 number, since 2×122520962 = 300227712786432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252091) 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 11 ways as a sum of consecutive naturals, for example, 51145 + ... + 51383.

Almost surely, 212252096 is an apocalyptic number.

12252096 is a gapful number since it is divisible by the number (16) 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 12252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

12252096 is an abundant number, since it is smaller than the sum of its proper divisors (23409504).

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

12252096 is a wasteful number, since it uses less digits than its factorization.

12252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12252096 is about 3500.2994157643. The cubic root of 12252096 is about 230.5349614374.

It can be divided in two parts, 1225 and 2096, that added together give a triangular number (3321 = T81).

The spelling of 12252096 in words is "twelve million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 239 267 288 356 478 534 576 712 717 801 956 1068 1424 1434 1602 1912 2136 2151 2848 2868 3204 3824 4272 4302 5696 5736 6408 7648 8544 8604 11472 12816 15296 17088 17208 21271 22944 25632 34416 42542 45888 51264 63813 68832 85084 127626 137664 170168 191439 255252 340336 382878 510504 680672 765756 1021008 1361344 1531512 2042016 3063024 4084032 6126048 12252096