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12428955 = 32571117211
BaseRepresentation
bin101111011010…
…011010011011
3212101110022200
4233122122123
511140211310
61122221243
7210434010
oct57323233
925343280
1012428955
11701a070
1241b4823
132762316
141917707
1511579c0
hexbda69b

12428955 has 96 divisors (see below), whose sum is σ = 28574208. Its totient is φ = 4838400.

The previous prime is 12428953. The next prime is 12428987. The reversal of 12428955 is 55982421.

12428955 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12428955 - 21 = 12428953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12428951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58800 + ... + 59010.

It is an arithmetic number, because the mean of its divisors is an integer number (297648).

Almost surely, 212428955 is an apocalyptic number.

12428955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12428955 is an abundant number, since it is smaller than the sum of its proper divisors (16145253).

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

12428955 is a wasteful number, since it uses less digits than its factorization.

12428955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 12428955 is about 3525.4723087836. The cubic root of 12428955 is about 231.6389238095.

The spelling of 12428955 in words is "twelve million, four hundred twenty-eight thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 51 55 63 77 85 99 105 119 153 165 187 211 231 255 315 357 385 495 561 595 633 693 765 935 1055 1071 1155 1309 1477 1683 1785 1899 2321 2805 3165 3465 3587 3927 4431 5355 6545 6963 7385 8415 9495 10761 11605 11781 13293 16247 17935 19635 20889 22155 25109 32283 34815 39457 48741 53805 58905 66465 75327 81235 104445 118371 125545 146223 161415 197285 225981 243705 276199 355113 376635 591855 731115 828597 1129905 1380995 1775565 2485791 4142985 12428955