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2116660 = 2257131163
BaseRepresentation
bin1000000100110000110100
310222112111211
420010300310
51020213120
6113211204
723664010
oct10046064
93875454
102116660
111216307
12860b04
13591580
143d1540
152bc25a
hex204c34

2116660 has 48 divisors (see below), whose sum is σ = 5475456. Its totient is φ = 669312.

The previous prime is 2116651. The next prime is 2116663. The reversal of 2116660 is 666112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116663) 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 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (114072).

22116660 is an apocalyptic number.

2116660 is a gapful number since it is divisible by the number (20) 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 2116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737728).

2116660 is an abundant number, since it is smaller than the sum of its proper divisors (3358796).

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

2116660 is a wasteful number, since it uses less digits than its factorization.

2116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2116660 is about 1454.8745650399. The cubic root of 2116660 is about 128.3956669507.

The spelling of 2116660 in words is "two million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1163 1820 2326 4652 5815 8141 11630 15119 16282 23260 30238 32564 40705 60476 75595 81410 105833 151190 162820 211666 302380 423332 529165 1058330 2116660