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20800000 = 295513
BaseRepresentation
bin100111101011…
…0001000000000
31110010202020101
41033112020000
520311100000
62021452144
7341540254
oct117261000
943122211
1020800000
1110817391
126b71054
1344035c0
142a96264
151c5ce6a
hex13d6200

20800000 has 120 divisors (see below), whose sum is σ = 55941732. Its totient is φ = 7680000.

The previous prime is 20799983. The next prime is 20800007. The reversal of 20800000 is 802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5683456 + 15116544 = 2384^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20800000.

It is not an unprimeable number, because it can be changed into a prime (20800007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599994 + ... + 1600006.

Almost surely, 220800000 is an apocalyptic number.

20800000 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 20800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970866).

20800000 is an abundant number, since it is smaller than the sum of its proper divisors (35141732).

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

20800000 is an frugal number, since it uses more digits than its factorization.

20800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20800000 is about 4560.7017003966. The cubic root of 20800000 is about 275.0137734148.

Adding to 20800000 its reverse (802), we get a palindrome (20800802).

It can be divided in two parts, 20 and 800000, that multiplied together give a square (16000000 = 40002).

The spelling of 20800000 in words is "twenty million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 512 520 625 640 650 800 832 1000 1040 1250 1280 1300 1600 1625 1664 2000 2080 2500 2560 2600 3125 3200 3250 3328 4000 4160 5000 5200 6250 6400 6500 6656 8000 8125 8320 10000 10400 12500 12800 13000 16000 16250 16640 20000 20800 25000 26000 32000 32500 33280 40000 40625 41600 50000 52000 64000 65000 80000 81250 83200 100000 104000 130000 160000 162500 166400 200000 208000 260000 320000 325000 400000 416000 520000 650000 800000 832000 1040000 1300000 1600000 2080000 2600000 4160000 5200000 10400000 20800000