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80180144 = 24111034423
BaseRepresentation
bin1001100011101…
…11001110110000
312120212120110222
410301313032300
5131011231034
611542312212
71662343232
oct461671660
9176776428
1080180144
1141294590
1222a28668
13137c4395
14a912252
15708c12e
hex4c773b0

80180144 has 40 divisors (see below), whose sum is σ = 171155712. Its totient is φ = 36083520.

The previous prime is 80180141. The next prime is 80180153. The reversal of 80180144 is 44108108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80180141) 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, 15917 + ... + 20339.

Almost surely, 280180144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85577856).

80180144 is an abundant number, since it is smaller than the sum of its proper divisors (90975568).

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

80180144 is a wasteful number, since it uses less digits than its factorization.

80180144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 80180144 is about 8954.3366030097. The cubic root of 80180144 is about 431.2101192834.

Subtracting from 80180144 its reverse (44108108), we obtain a square (36072036 = 60062).

The spelling of 80180144 in words is "eighty million, one hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 4423 4532 8846 9064 17692 18128 35384 48653 70768 97306 194612 389224 455569 778448 911138 1822276 3644552 5011259 7289104 10022518 20045036 40090072 80180144