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80112240 = 2435513317
BaseRepresentation
bin1001100011001…
…10101001110000
312120202010100000
410301212221300
5131002042430
611541030000
71661641245
oct461465160
9176663300
1080112240
114124856a
12229b5300
131379c4c0
14a8d55cc
157076e60
hex4c66a70

80112240 has 240 divisors, whose sum is σ = 301418208. Its totient is φ = 19657728.

The previous prime is 80112223. The next prime is 80112247. The reversal of 80112240 is 4221108.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80112247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252562 + ... + 252878.

Almost surely, 280112240 is an apocalyptic number.

80112240 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 80112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150709104).

80112240 is an abundant number, since it is smaller than the sum of its proper divisors (221305968).

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

80112240 is a wasteful number, since it uses less digits than its factorization.

80112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

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

The square root of 80112240 is about 8950.5441175383. The cubic root of 80112240 is about 431.0883552976.

Adding to 80112240 its reverse (4221108), we get a palindrome (84333348).

It can be divided in two parts, 801 and 12240, that added together give a triangular number (13041 = T161).

The spelling of 80112240 in words is "eighty million, one hundred twelve thousand, two hundred forty".