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12681090 = 233567701
BaseRepresentation
bin110000010111…
…111110000010
3212212021012000
4300113332002
511221243330
61131444430
7212534052
oct60277602
925767160
1012681090
117181544
1242b6716
132820006
141981562
1511a7560
hexc17f82

12681090 has 64 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 3326400.

The previous prime is 12681089. The next prime is 12681103. The reversal of 12681090 is 9018621.

12681090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17740 + ... + 18440.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 212681090 is an apocalyptic number.

12681090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

12681090 is an abundant number, since it is smaller than the sum of its proper divisors (21688830).

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

12681090 is a wasteful number, since it uses less digits than its factorization.

12681090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12681090 is about 3561.0518109121. The cubic root of 12681090 is about 233.1947998531.

The spelling of 12681090 in words is "twelve million, six hundred eighty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 701 1005 1206 1402 1809 2010 2103 3015 3505 3618 4206 6030 6309 7010 9045 10515 12618 18090 18927 21030 31545 37854 46967 63090 93934 94635 140901 189270 234835 281802 422703 469670 704505 845406 1268109 1409010 2113515 2536218 4227030 6340545 12681090