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2135790 = 2325191249
BaseRepresentation
bin1000001001011011101110
311000111202100
420021123232
51021321130
6113435530
724103536
oct10113356
94014670
102135790
111229718
1286bba6
1359a1a7
143d84c6
152c2c60
hex2096ee

2135790 has 48 divisors (see below), whose sum is σ = 5850000. Its totient is φ = 539136.

The previous prime is 2135779. The next prime is 2135797. The reversal of 2135790 is 975312.

2135790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (121875).

22135790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925000).

2135790 is an abundant number, since it is smaller than the sum of its proper divisors (3714210).

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

2135790 is a wasteful number, since it uses less digits than its factorization.

2135790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2135790 is about 1461.4342270523. The cubic root of 2135790 is about 128.7813132748.

The spelling of 2135790 in words is "two million, one hundred thirty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1249 1710 2498 3747 6245 7494 11241 12490 18735 22482 23731 37470 47462 56205 71193 112410 118655 142386 213579 237310 355965 427158 711930 1067895 2135790