Search a number
-
+
2026120 = 235373
BaseRepresentation
bin111101110101010001000
310210221022111
413232222020
51004313440
6111232104
723136025
oct7565210
93727274
102026120
111164288
12818634
1355c2b5
143aa54c
152a04ea
hex1eea88

2026120 has 32 divisors (see below), whose sum is σ = 4685400. Its totient is φ = 788544.

The previous prime is 2026109. The next prime is 2026121. The reversal of 2026120 is 216202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1965604 + 60516 = 1402^2 + 246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2026120.

It is not an unprimeable number, because it can be changed into a prime (2026121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54742 + ... + 54778.

22026120 is an apocalyptic number.

2026120 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 2026120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342700).

2026120 is an abundant number, since it is smaller than the sum of its proper divisors (2659280).

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

2026120 is an frugal number, since it uses more digits than its factorization.

2026120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2026120 is about 1423.4184205637. The cubic root of 2026120 is about 126.5382200541.

The spelling of 2026120 in words is "two million, twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1369 1480 2738 5476 6845 10952 13690 27380 50653 54760 101306 202612 253265 405224 506530 1013060 2026120