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12589040 = 245157363
BaseRepresentation
bin110000000001…
…011111110000
3212200120220202
4300001133300
511210322130
61125454332
7212001512
oct60013760
925616822
1012589040
117119372
1242713a8
1327ba149
141959bb2
15118a145
hexc017f0

12589040 has 20 divisors (see below), whose sum is σ = 29269704. Its totient is φ = 5035584.

The previous prime is 12589033. The next prime is 12589043. The reversal of 12589040 is 4098521.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12588994 and 12589012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12589043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78602 + ... + 78761.

Almost surely, 212589040 is an apocalyptic number.

12589040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12589040 is an abundant number, since it is smaller than the sum of its proper divisors (16680664).

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

12589040 is a wasteful number, since it uses less digits than its factorization.

12589040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157376 (or 157370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 12589040 is about 3548.1037188899. The cubic root of 12589040 is about 232.6291878486.

The spelling of 12589040 in words is "twelve million, five hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157363 314726 629452 786815 1258904 1573630 2517808 3147260 6294520 12589040