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2116290 = 23511353
BaseRepresentation
bin1000000100101011000010
310222112000010
420010223002
51020210130
6113205350
723662641
oct10045302
93875003
102116290
111216000
12860856
13591357
143d1358
152bc0b0
hex204ac2

2116290 has 64 divisors (see below), whose sum is σ = 5692032. Its totient is φ = 503360.

The previous prime is 2116199. The next prime is 2116291. The reversal of 2116290 is 926112.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39904 + ... + 39956.

It is an arithmetic number, because the mean of its divisors is an integer number (88938).

22116290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846016).

2116290 is an abundant number, since it is smaller than the sum of its proper divisors (3575742).

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

2116290 is a wasteful number, since it uses less digits than its factorization.

2116290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2116290 is about 1454.7474007538. The cubic root of 2116290 is about 128.3881851688.

The spelling of 2116290 in words is "two million, one hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 121 159 165 242 265 318 330 363 530 583 605 726 795 1166 1210 1331 1590 1749 1815 2662 2915 3498 3630 3993 5830 6413 6655 7986 8745 12826 13310 17490 19239 19965 32065 38478 39930 64130 70543 96195 141086 192390 211629 352715 423258 705430 1058145 2116290