Search a number
-
+
20442120 = 2335170351
BaseRepresentation
bin100110111111…
…0110000001000
31102110120022120
41031332300020
520213121440
62010051240
7335520006
oct115766010
942416276
1020442120
11105a2516
126a19b20
13430973a
142a01a76
151bdbdd0
hex137ec08

20442120 has 32 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 5451200.

The previous prime is 20442091. The next prime is 20442127. The reversal of 20442120 is 2124402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20442120.

It is not an unprimeable number, because it can be changed into a prime (20442127) 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, 85056 + ... + 85295.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 220442120 is an apocalyptic number.

20442120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442120 is an abundant number, since it is smaller than the sum of its proper divisors (40884600).

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

20442120 is a wasteful number, since it uses less digits than its factorization.

20442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170365 (or 170361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20442120 is about 4521.2962743001. The cubic root of 20442120 is about 273.4273653604.

Adding to 20442120 its reverse (2124402), we get a palindrome (22566522).

It can be divided in two parts, 204 and 42120, that added together give a palindrome (42324).

The spelling of 20442120 in words is "twenty million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 170351 340702 511053 681404 851755 1022106 1362808 1703510 2044212 2555265 3407020 4088424 5110530 6814040 10221060 20442120