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12444705 = 3357131013
BaseRepresentation
bin101111011110…
…010000100001
3212102020221000
4233132100201
511141212310
61122422213
7210530640
oct57362041
925366830
1012444705
11702a989
124201969
132769540
14191d357
15115c4c0
hexbde421

12444705 has 64 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 5246208.

The previous prime is 12444701. The next prime is 12444709. The reversal of 12444705 is 50744421.

12444705 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12444701) and next prime (12444709).

It is not a de Polignac number, because 12444705 - 22 = 12444701 is a prime.

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

12444705 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12444701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11779 + ... + 12791.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 212444705 is an apocalyptic number.

12444705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12444705 is an abundant number, since it is smaller than the sum of its proper divisors (14811615).

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

12444705 is a wasteful number, since it uses less digits than its factorization.

12444705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 12444705 is about 3527.7053448382. The cubic root of 12444705 is about 231.7367269658.

The spelling of 12444705 in words is "twelve million, four hundred forty-four thousand, seven hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1013 1365 1755 2457 3039 4095 5065 7091 9117 12285 13169 15195 21273 27351 35455 39507 45585 63819 65845 92183 106365 118521 136755 191457 197535 276549 319095 355563 460915 592605 829647 957285 1382745 1777815 2488941 4148235 12444705