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20080000 = 2754251
BaseRepresentation
bin100110010011…
…0010110000000
31101210011120201
41030212112000
520120030000
61554214544
7332451163
oct114462600
941704521
1020080000
1110375446
126884454
134210975
142949ada
151b6996a
hex1326580

20080000 has 80 divisors (see below), whose sum is σ = 50187060. Its totient is φ = 8000000.

The previous prime is 20079991. The next prime is 20080003. The reversal of 20080000 is 8002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 (20080003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79875 + ... + 80125.

Almost surely, 220080000 is an apocalyptic number.

20080000 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 20080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093530).

20080000 is an abundant number, since it is smaller than the sum of its proper divisors (30107060).

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

20080000 is an frugal number, since it uses more digits than its factorization.

20080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

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

The square root of 20080000 is about 4481.0713004816. The cubic root of 20080000 is about 271.8032025147.

Adding to 20080000 its reverse (8002), we get a palindrome (20088002).

It can be divided in two parts, 200 and 80000, that multiplied together give a square (16000000 = 40002).

The spelling of 20080000 in words is "twenty million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 251 320 400 500 502 625 640 800 1000 1004 1250 1255 1600 2000 2008 2500 2510 3200 4000 4016 5000 5020 6275 8000 8032 10000 10040 12550 16000 16064 20000 20080 25100 31375 32128 40000 40160 50200 62750 80000 80320 100400 125500 156875 160640 200800 251000 313750 401600 502000 627500 803200 1004000 1255000 2008000 2510000 4016000 5020000 10040000 20080000