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12895020 = 22325711009
BaseRepresentation
bin110001001100…
…001100101100
3220021010122100
4301030030230
511300120040
61140215100
7214414545
oct61141454
926233570
1012895020
117308246
12439a490
1328964b8
1419d94cc
1511eab30
hexc4c32c

12895020 has 72 divisors (see below), whose sum is σ = 39705120. Its totient is φ = 3386880.

The previous prime is 12894991. The next prime is 12895031. The reversal of 12895020 is 2059821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12276 + ... + 13284.

It is an arithmetic number, because the mean of its divisors is an integer number (551460).

Almost surely, 212895020 is an apocalyptic number.

12895020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12895020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852560).

12895020 is an abundant number, since it is smaller than the sum of its proper divisors (26810100).

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

12895020 is a wasteful number, since it uses less digits than its factorization.

12895020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12895020 is about 3590.9636589640. The cubic root of 12895020 is about 234.4988263012.

The spelling of 12895020 in words is "twelve million, eight hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1009 1065 1278 1420 2018 2130 2556 3027 3195 4036 4260 5045 6054 6390 9081 10090 12108 12780 15135 18162 20180 30270 36324 45405 60540 71639 90810 143278 181620 214917 286556 358195 429834 644751 716390 859668 1074585 1289502 1432780 2149170 2579004 3223755 4298340 6447510 12895020