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2027052 = 22331372
BaseRepresentation
bin111101110111000101100
310210222121000
413232320230
51004331202
6111240300
723141526
oct7567054
93728530
102027052
111164a55
12819090
1355c851
143aaa16
152a091c
hex1eee2c

2027052 has 36 divisors (see below), whose sum is σ = 5293960. Its totient is φ = 670752.

The previous prime is 2027033. The next prime is 2027057. The reversal of 2027052 is 2507202.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2027057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14728 + ... + 14864.

22027052 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 2027052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646980).

2027052 is an abundant number, since it is smaller than the sum of its proper divisors (3266908).

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

2027052 is a wasteful number, since it uses less digits than its factorization.

2027052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2027052 is about 1423.7457638216. The cubic root of 2027052 is about 126.5576192905.

It can be divided in two parts, 20 and 27052, that added together give a palindrome (27072).

The spelling of 2027052 in words is "two million, twenty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 7398 14796 18769 37538 56307 75076 112614 168921 225228 337842 506763 675684 1013526 2027052