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250080 = 2535521
BaseRepresentation
bin111101000011100000
3110201001020
4331003200
531000310
65205440
72061045
oct750340
9421036
10250080
11160986
12100880
1389a9c
14671cc
154e170
hex3d0e0

250080 has 48 divisors (see below), whose sum is σ = 789264. Its totient is φ = 66560.

The previous prime is 250073. The next prime is 250091. The reversal of 250080 is 80052.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (16443).

250080 is a Friedman number, since it can be written as 500^2+80, using all its digits and the basic arithmetic operations.

2250080 is an apocalyptic number.

250080 is a gapful number since it is divisible by the number (20) 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 250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394632).

250080 is an abundant number, since it is smaller than the sum of its proper divisors (539184).

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

250080 is a wasteful number, since it uses less digits than its factorization.

250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 250080 is about 500.0799936010. The cubic root of 250080 is about 63.0027713570.

Subtracting from 250080 its product of nonzero digits (80), we obtain a square (250000 = 5002).

The spelling of 250080 in words is "two hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 521 1042 1563 2084 2605 3126 4168 5210 6252 7815 8336 10420 12504 15630 16672 20840 25008 31260 41680 50016 62520 83360 125040 250080