Search a number
-
+
67460 = 2253373
BaseRepresentation
bin10000011110000100
310102112112
4100132010
54124320
61240152
7400451
oct203604
9112475
1067460
1146758
1233058
1324923
141a828
1514ec5
hex10784

67460 has 12 divisors (see below), whose sum is σ = 141708. Its totient is φ = 26976.

The previous prime is 67453. The next prime is 67477. The reversal of 67460 is 6476.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 16384 = 226^2 + 128^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

67460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (11809).

267460 is an apocalyptic number.

It is an amenable number.

67460 is an abundant number, since it is smaller than the sum of its proper divisors (74248).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70854).

67460 is a wasteful number, since it uses less digits than its factorization.

67460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 67460 is about 259.7306296916. The cubic root of 67460 is about 40.7082199409.

The spelling of 67460 in words is "sixty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 3373 6746 13492 16865 33730 67460