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2081716 = 2272131943
BaseRepresentation
bin111111100001110110100
310220202120121
413330032310
51013103331
6112341324
723460100
oct7741664
93822517
102081716
1111a202a
12844844
1357b6b0
143c2900
152b1c11
hex1fc3b4

2081716 has 72 divisors (see below), whose sum is σ = 4915680. Its totient is φ = 762048.

The previous prime is 2081687. The next prime is 2081719. The reversal of 2081716 is 6171802.

2081716 is a modest number, since divided by 1716 gives 208 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48391 + ... + 48433.

22081716 is an apocalyptic number.

2081716 is a gapful number since it is divisible by the number (26) 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 2081716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457840).

2081716 is an abundant number, since it is smaller than the sum of its proper divisors (2833964).

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

2081716 is a wasteful number, since it uses less digits than its factorization.

2081716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2081716 is about 1442.8153034952. The cubic root of 2081716 is about 127.6851801017.

The spelling of 2081716 in words is "two million, eighty-one thousand, seven hundred sixteen".

Divisors: 1 2 4 7 13 14 19 26 28 38 43 49 52 76 86 91 98 133 172 182 196 247 266 301 364 494 532 559 602 637 817 931 988 1118 1204 1274 1634 1729 1862 2107 2236 2548 3268 3458 3724 3913 4214 5719 6916 7826 8428 10621 11438 12103 15652 21242 22876 24206 27391 40033 42484 48412 54782 74347 80066 109564 148694 160132 297388 520429 1040858 2081716