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2086840 = 235729257
BaseRepresentation
bin111111101011110111000
310221000121101
413331132320
51013234330
6112421144
723511040
oct7753670
93830541
102086840
1111a5968
128477b4
13580b22
143c4720
152b34ca
hex1fd7b8

2086840 has 64 divisors (see below), whose sum is σ = 5572800. Its totient is φ = 688128.

The previous prime is 2086831. The next prime is 2086841. The reversal of 2086840 is 486802.

2086840 = 5432 + 5442 + ... + 5492.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2086799 and 2086808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7992 + ... + 8248.

It is an arithmetic number, because the mean of its divisors is an integer number (87075).

22086840 is an apocalyptic number.

2086840 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 2086840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786400).

2086840 is an abundant number, since it is smaller than the sum of its proper divisors (3485960).

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

2086840 is a wasteful number, since it uses less digits than its factorization.

2086840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2086840 is about 1444.5899072055. The cubic root of 2086840 is about 127.7898570111.

It can be divided in two parts, 2086 and 840, that added together give a triangular number (2926 = T76).

The spelling of 2086840 in words is "two million, eighty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 257 280 290 406 514 580 812 1015 1028 1160 1285 1624 1799 2030 2056 2570 3598 4060 5140 7196 7453 8120 8995 10280 14392 14906 17990 29812 35980 37265 52171 59624 71960 74530 104342 149060 208684 260855 298120 417368 521710 1043420 2086840