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67480 = 2357241
BaseRepresentation
bin10000011110011000
310102120021
4100132120
54124410
61240224
7400510
oct203630
9112507
1067480
1146776
1233074
132493a
141a840
1514eda
hex10798

67480 has 32 divisors (see below), whose sum is σ = 174240. Its totient is φ = 23040.

The previous prime is 67477. The next prime is 67481. The reversal of 67480 is 8476.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

267480 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 67480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

67480 is an abundant number, since it is smaller than the sum of its proper divisors (106760).

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

67480 is a wasteful number, since it uses less digits than its factorization.

67480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 67480 is about 259.7691282659. The cubic root of 67480 is about 40.7122424923.

The spelling of 67480 in words is "sixty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4820 6748 8435 9640 13496 16870 33740 67480