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80803120 = 2451516689
BaseRepresentation
bin1001101000011…
…11010100110000
312122001020001011
410310033110300
5131141144440
612003520304
72000546416
oct464172460
9178036034
1080803120
114167a642
1223089094
1313981ac8
14aa352b6
1571619ea
hex4d0f530

80803120 has 40 divisors (see below), whose sum is σ = 189139680. Its totient is φ = 32102400.

The previous prime is 80803103. The next prime is 80803127. The reversal of 80803120 is 2130808.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 80803091 and 80803100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80803127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8736 + ... + 15424.

It is an arithmetic number, because the mean of its divisors is an integer number (4728492).

Almost surely, 280803120 is an apocalyptic number.

80803120 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 80803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94569840).

80803120 is an abundant number, since it is smaller than the sum of its proper divisors (108336560).

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

80803120 is a wasteful number, since it uses less digits than its factorization.

80803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 80803120 is about 8989.0555677446. The cubic root of 80803120 is about 432.3240310125.

Adding to 80803120 its reverse (2130808), we get a palindrome (82933928).

The spelling of 80803120 in words is "eighty million, eight hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 6689 12080 13378 26756 33445 53512 66890 107024 133780 267560 535120 1010039 2020078 4040156 5050195 8080312 10100390 16160624 20200780 40401560 80803120