Search a number
-
+
80129280 = 2835711271
BaseRepresentation
bin1001100011010…
…10110100000000
312120202222201010
410301222310000
5131003114110
611541240520
71662042030
oct461526400
9176688633
1080129280
114125a350
1222a03140
13137a719a
14a8db8c0
15707c020
hex4c6ad00

80129280 has 288 divisors, whose sum is σ = 320237568. Its totient is φ = 16588800.

The previous prime is 80129239. The next prime is 80129297. The reversal of 80129280 is 8292108.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295545 + ... + 295815.

It is an arithmetic number, because the mean of its divisors is an integer number (1111936).

Almost surely, 280129280 is an apocalyptic number.

80129280 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 80129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).

80129280 is an abundant number, since it is smaller than the sum of its proper divisors (240108288).

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

80129280 is a wasteful number, since it uses less digits than its factorization.

80129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 80129280 is about 8951.4959643626. The cubic root of 80129280 is about 431.1189175222.

The spelling of 80129280 in words is "eighty million, one hundred twenty-nine thousand, two hundred eighty".