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20532042 = 23583509
BaseRepresentation
bin100111001010…
…0101101001010
31102122010200000
41032110231022
520224011132
62012023430
7336343116
oct116245512
942563600
1020532042
1110654033
126a61b76
13433b64b
142a26746
151c0887c
hex1394b4a

20532042 has 48 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 6748272.

The previous prime is 20532037. The next prime is 20532049. The reversal of 20532042 is 24023502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20532049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40084 + ... + 40592.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 220532042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20532042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

20532042 is an abundant number, since it is smaller than the sum of its proper divisors (26249238).

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

20532042 is an equidigital number, since it uses as much as digits as its factorization.

20532042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20532042 is about 4531.2296344370. The cubic root of 20532042 is about 273.8277017185.

Adding to 20532042 its reverse (24023502), we get a palindrome (44555544).

It can be divided in two parts, 2053 and 2042, that added together give a triangular number (4095 = T90).

The spelling of 20532042 in words is "twenty million, five hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 243 249 486 498 509 747 1018 1494 1527 2241 3054 4482 4581 6723 9162 13446 13743 20169 27486 40338 41229 42247 82458 84494 123687 126741 247374 253482 380223 760446 1140669 2281338 3422007 6844014 10266021 20532042