Search a number
-
+
2081916 = 223337521
BaseRepresentation
bin111111100010001111100
310220202212000
413330101330
51013110131
6112342300
723460504
oct7742174
93822760
102081916
1111a21a1
12844990
1357b805
143c2a04
152b1ce6
hex1fc47c

2081916 has 48 divisors (see below), whose sum is σ = 5554080. Its totient is φ = 673920.

The previous prime is 2081909. The next prime is 2081921. The reversal of 2081916 is 6191802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2081916.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3736 + ... + 4256.

It is an arithmetic number, because the mean of its divisors is an integer number (115710).

22081916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777040).

2081916 is an abundant number, since it is smaller than the sum of its proper divisors (3472164).

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

2081916 is a wasteful number, since it uses less digits than its factorization.

2081916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2081916 is about 1442.8846107711. The cubic root of 2081916 is about 127.6892690710.

The spelling of 2081916 in words is "two million, eighty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 521 666 999 1042 1332 1563 1998 2084 3126 3996 4689 6252 9378 14067 18756 19277 28134 38554 56268 57831 77108 115662 173493 231324 346986 520479 693972 1040958 2081916