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2021916 = 223132997
BaseRepresentation
bin111101101101000011100
310210201112210
413231220130
51004200131
6111200420
723120541
oct7555034
93721483
102021916
111161106
12816110
1355a400
143a8bc8
1529e146
hex1eda1c

2021916 has 36 divisors (see below), whose sum is σ = 5113752. Its totient is φ = 621504.

The previous prime is 2021891. The next prime is 2021927. The reversal of 2021916 is 6191202.

It is a super-2 number, since 2×20219162 = 8176288622112, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2021892 and 2021901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530 + ... + 2526.

22021916 is an apocalyptic number.

2021916 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 2021916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556876).

2021916 is an abundant number, since it is smaller than the sum of its proper divisors (3091836).

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

2021916 is a wasteful number, since it uses less digits than its factorization.

2021916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1015 counting only the distinct ones).

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

The square root of 2021916 is about 1421.9409270430. The cubic root of 2021916 is about 126.4506413276.

The spelling of 2021916 in words is "two million, twenty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 997 1014 1994 2028 2991 3988 5982 11964 12961 25922 38883 51844 77766 155532 168493 336986 505479 673972 1010958 2021916