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20200000 = 2655101
BaseRepresentation
bin100110100001…
…1101001000000
31102000021012011
41031003221000
520132400000
62000542304
7333461062
oct115035100
942007164
1020200000
1110447617
126921994
134253482
14297b732
151b902ba
hex1343a40

20200000 has 84 divisors (see below), whose sum is σ = 50598324. Its totient is φ = 8000000.

The previous prime is 20199973. The next prime is 20200013. The reversal of 20200000 is 202.

It can be written as a sum of positive squares in 6 ways, for example, as 11343424 + 8856576 = 3368^2 + 2976^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199950 + ... + 200050.

It is an arithmetic number, because the mean of its divisors is an integer number (602361).

Almost surely, 220200000 is an apocalyptic number.

20200000 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 20200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25299162).

20200000 is an abundant number, since it is smaller than the sum of its proper divisors (30398324).

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

20200000 is an frugal number, since it uses more digits than its factorization.

20200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 20200000 is about 4494.4410108488. The cubic root of 20200000 is about 272.3435681569.

Adding to 20200000 its reverse (202), we get a palindrome (20200202).

20200000 divided by its reverse (202) gives a 5-th power (100000 = 105).

It can be divided in two parts, 20 and 200000, that multiplied together give a square (4000000 = 20002).

The spelling of 20200000 in words is "twenty million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3125 3232 4000 4040 5000 5050 6250 6464 8000 8080 10000 10100 12500 12625 16160 20000 20200 25000 25250 32320 40000 40400 50000 50500 63125 80800 100000 101000 126250 161600 200000 202000 252500 315625 404000 505000 631250 808000 1010000 1262500 2020000 2525000 4040000 5050000 10100000 20200000