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20644000 = 255313397
BaseRepresentation
bin100111011000…
…0000010100000
31102211211020121
41032300002200
520241102000
62014250024
7340320406
oct116600240
942754217
1020644000
1110720163
126ab6914
13437a5b0
142a55476
151c2bb1a
hex13b00a0

20644000 has 96 divisors (see below), whose sum is σ = 54761616. Its totient is φ = 7603200.

The previous prime is 20643947. The next prime is 20644003. The reversal of 20644000 is 44602.

It can be written as a sum of positive squares in 8 ways, for example, as 104976 + 20539024 = 324^2 + 4532^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20644003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51802 + ... + 52198.

Almost surely, 220644000 is an apocalyptic number.

20644000 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 20644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380808).

20644000 is an abundant number, since it is smaller than the sum of its proper divisors (34117616).

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

20644000 is a wasteful number, since it uses less digits than its factorization.

20644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20644000 is about 4543.5668807667. The cubic root of 20644000 is about 274.3245129474.

Adding to 20644000 its reverse (44602), we get a palindrome (20688602).

The spelling of 20644000 in words is "twenty million, six hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 397 400 416 500 520 650 794 800 1000 1040 1300 1588 1625 1985 2000 2080 2600 3176 3250 3970 4000 5161 5200 6352 6500 7940 9925 10322 10400 12704 13000 15880 19850 20644 25805 26000 31760 39700 41288 49625 51610 52000 63520 79400 82576 99250 103220 129025 158800 165152 198500 206440 258050 317600 397000 412880 516100 645125 794000 825760 1032200 1290250 1588000 2064400 2580500 4128800 5161000 10322000 20644000