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2050820 = 22541261
BaseRepresentation
bin111110100101100000100
310212012012022
413310230010
51011111240
6111542312
723301032
oct7645404
93765168
102050820
1111808a2
1282a998
1356a605
143b5552
152a79b5
hex1f4b04

2050820 has 36 divisors (see below), whose sum is σ = 4486692. Its totient is φ = 787200.

The previous prime is 2050819. The next prime is 2050823. The reversal of 2050820 is 280502.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1331716 + 719104 = 1154^2 + 848^2 .

It is not an unprimeable number, because it can be changed into a prime (2050823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33590 + ... + 33650.

22050820 is an apocalyptic number.

2050820 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 2050820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243346).

2050820 is an abundant number, since it is smaller than the sum of its proper divisors (2435872).

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

2050820 is a wasteful number, since it uses less digits than its factorization.

2050820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2050820 is about 1432.0684341190. The cubic root of 2050820 is about 127.0503448073.

The spelling of 2050820 in words is "two million, fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 1681 2501 3362 5002 6724 8405 10004 12505 16810 25010 33620 50020 102541 205082 410164 512705 1025410 2050820