Search a number
-
+
20452000 = 25535113
BaseRepresentation
bin100111000000…
…1001010100000
31102111001212111
41032001022200
520213431000
62010205104
7335560552
oct116011240
942431774
1020452000
11105a9988
126a23794
13431109a
142a054d2
151bdecba
hex13812a0

20452000 has 48 divisors (see below), whose sum is σ = 50260392. Its totient is φ = 8179200.

The previous prime is 20451979. The next prime is 20452007. The reversal of 20452000 is 25402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 19395216 = 1028^2 + 4404^2 .

It is not an unprimeable number, because it can be changed into a prime (20452007) 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, 1444 + ... + 6556.

Almost surely, 220452000 is an apocalyptic number.

20452000 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 20452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25130196).

20452000 is an abundant number, since it is smaller than the sum of its proper divisors (29808392).

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

20452000 is an equidigital number, since it uses as much as digits as its factorization.

20452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 20452000 is about 4522.3887493226. The cubic root of 20452000 is about 273.4714088560.

Adding to 20452000 its reverse (25402), we get a palindrome (20477402).

The spelling of 20452000 in words is "twenty million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5113 10226 20452 25565 40904 51130 81808 102260 127825 163616 204520 255650 409040 511300 639125 818080 1022600 1278250 2045200 2556500 4090400 5113000 10226000 20452000