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2021840 = 245127199
BaseRepresentation
bin111101101100111010000
310210201102222
413231213100
51004144330
6111200212
723120402
oct7554720
93721388
102021840
111161047
12816068
1355a372
143a8b72
1529e0e5
hex1ed9d0

2021840 has 40 divisors (see below), whose sum is σ = 4761600. Its totient is φ = 798336.

The previous prime is 2021839. The next prime is 2021843. The reversal of 2021840 is 481202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10061 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

22021840 is an apocalyptic number.

2021840 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 2021840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380800).

2021840 is an abundant number, since it is smaller than the sum of its proper divisors (2739760).

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

2021840 is a wasteful number, since it uses less digits than its factorization.

2021840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2021840 is about 1421.9142027563. The cubic root of 2021840 is about 126.4490569609.

The spelling of 2021840 in words is "two million, twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 199 254 398 508 635 796 995 1016 1270 1592 1990 2032 2540 3184 3980 5080 7960 10160 15920 25273 50546 101092 126365 202184 252730 404368 505460 1010920 2021840