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80020000 = 25544001
BaseRepresentation
bin1001100010100…
…00001000100000
312120120102210201
410301100020200
5130441120000
611535034544
71661105314
oct461201040
9176512721
1080020000
1141195235
122296ba54
1313769518
14a8adb44
15705996a
hex4c50220

80020000 has 60 divisors (see below), whose sum is σ = 196910406. Its totient is φ = 32000000.

The previous prime is 80019941. The next prime is 80020007. The reversal of 80020000 is 2008.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2650384 + 77369616 = 1628^2 + 8796^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (80020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18000 + ... + 22000.

Almost surely, 280020000 is an apocalyptic number.

80020000 is a gapful number since it is divisible by the number (80) 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 80020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98455203).

80020000 is an abundant number, since it is smaller than the sum of its proper divisors (116890406).

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

80020000 is an equidigital number, since it uses as much as digits as its factorization.

80020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4008 counting only the distinct ones).

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

The square root of 80020000 is about 8945.3898741195. The cubic root of 80020000 is about 430.9228422594.

80020000 divided by its sum of digits (10) gives a triangular number (8002000 = T4000).

Adding to 80020000 its reverse (2008), we get a palindrome (80022008).

It can be divided in two parts, 800 and 20000, that multiplied together give a square (16000000 = 40002).

The spelling of 80020000 in words is "eighty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4001 5000 8002 10000 16004 20000 20005 32008 40010 64016 80020 100025 128032 160040 200050 320080 400100 500125 640160 800200 1000250 1600400 2000500 2500625 3200800 4001000 5001250 8002000 10002500 16004000 20005000 40010000 80020000