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248160 = 25351147
BaseRepresentation
bin111100100101100000
3110121102010
4330211200
530420120
65152520
72052333
oct744540
9417363
10248160
1115a4a0
12bb740
1388c53
146661a
154d7e0
hex3c960

248160 has 96 divisors (see below), whose sum is σ = 870912. Its totient is φ = 58880.

The previous prime is 248141. The next prime is 248161. The reversal of 248160 is 61842.

248160 is a nontrivial binomial coefficient, being equal to C(705, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2248160 is an apocalyptic number.

248160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248160 is the 704-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

248160 is an abundant number, since it is smaller than the sum of its proper divisors (622752).

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

248160 is a wasteful number, since it uses less digits than its factorization.

248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 248160 is about 498.1566018834. The cubic root of 248160 is about 62.8411214578.

The spelling of 248160 in words is "two hundred forty-eight thousand, one hundred sixty".