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12288601 = 132373563
BaseRepresentation
bin101110111000…
…001001011001
3212010022210101
4232320021121
511121213401
61115215401
7206310553
oct56701131
925108711
1012288601
116a33676
124147561
132713480
1418bc4d3
15112b101
hexbb8259

12288601 has 16 divisors (see below), whose sum is σ = 14023296. Its totient is φ = 10682496.

The previous prime is 12288589. The next prime is 12288607. The reversal of 12288601 is 10688221.

12288601 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12288601 - 27 = 12288473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12288601.

It is not an unprimeable number, because it can be changed into a prime (12288607) 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, 21546 + ... + 22108.

It is an arithmetic number, because the mean of its divisors is an integer number (876456).

Almost surely, 212288601 is an apocalyptic number.

It is an amenable number.

12288601 is a deficient number, since it is larger than the sum of its proper divisors (1734695).

12288601 is a wasteful number, since it uses less digits than its factorization.

12288601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12288601 is about 3505.5100912706. The cubic root of 12288601 is about 230.7636933059.

The spelling of 12288601 in words is "twelve million, two hundred eighty-eight thousand, six hundred one".

Divisors: 1 13 23 73 299 563 949 1679 7319 12949 21827 41099 168337 534287 945277 12288601