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12288507 = 371153197
BaseRepresentation
bin101110111000…
…000111111011
3212010022122220
4232320013323
511121213012
61115215123
7206310360
oct56700773
925108586
1012288507
116a335a0
1241474a3
13271340a
1418bc467
15112b08c
hexbb81fb

12288507 has 16 divisors (see below), whose sum is σ = 20428032. Its totient is φ = 6383520.

The previous prime is 12288499. The next prime is 12288517. The reversal of 12288507 is 70588221.

It is not a de Polignac number, because 12288507 - 23 = 12288499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12288517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26368 + ... + 26829.

It is an arithmetic number, because the mean of its divisors is an integer number (1276752).

Almost surely, 212288507 is an apocalyptic number.

12288507 is a deficient number, since it is larger than the sum of its proper divisors (8139525).

12288507 is a wasteful number, since it uses less digits than its factorization.

12288507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53218.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 12288507 is about 3505.4966837811. The cubic root of 12288507 is about 230.7631049058.

It can be divided in two parts, 12288 and 507, that multiplied together give a square (6230016 = 24962).

The spelling of 12288507 in words is "twelve million, two hundred eighty-eight thousand, five hundred seven".

Divisors: 1 3 7 11 21 33 77 231 53197 159591 372379 585167 1117137 1755501 4096169 12288507