Search a number
-
+
80212104 = 23327167953
BaseRepresentation
bin1001100011111…
…11000010001000
312120221012022200
410301333002020
5131013241404
611543120200
71662535350
oct461770210
9176835280
1080212104
11413065a5
1222a43060
1313805aab
14a91db60
157096839
hex4c7f088

80212104 has 96 divisors (see below), whose sum is σ = 250024320. Its totient is φ = 22756608.

The previous prime is 80212087. The next prime is 80212123. The reversal of 80212104 is 40121208.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83692 + ... + 84644.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 280212104 is an apocalyptic number.

80212104 is a gapful number since it is divisible by the number (84) 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 80212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125012160).

80212104 is an abundant number, since it is smaller than the sum of its proper divisors (169812216).

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

80212104 is a wasteful number, since it uses less digits than its factorization.

80212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80212104 is about 8956.1210353590. The cubic root of 80212104 is about 431.2674054727.

The spelling of 80212104 in words is "eighty million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 953 1002 1169 1336 1503 1906 2004 2338 2859 3006 3507 3812 4008 4676 5718 6012 6671 7014 7624 8577 9352 10521 11436 12024 13342 14028 17154 20013 21042 22872 26684 28056 34308 40026 42084 53368 60039 68616 80052 84168 120078 159151 160104 240156 318302 477453 480312 636604 954906 1114057 1273208 1432359 1909812 2228114 2864718 3342171 3819624 4456228 5729436 6684342 8912456 10026513 11458872 13368684 20053026 26737368 40106052 80212104