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67024 = 245971
BaseRepresentation
bin10000010111010000
310101221101
4100113100
54121044
61234144
7366256
oct202720
9111841
1067024
11463a1
1232954
1324679
141a5d6
1514cd4
hex105d0

67024 has 20 divisors (see below), whose sum is σ = 133920. Its totient is φ = 32480.

The previous prime is 67021. The next prime is 67033. The reversal of 67024 is 42076.

67024 = T27 + T28 + ... + T74.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66992 and 67010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 909 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

267024 is an apocalyptic number.

It is an amenable number.

67024 is a deficient number, since it is larger than the sum of its proper divisors (66896).

67024 is a wasteful number, since it uses less digits than its factorization.

67024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 67024 is about 258.8899380046. The cubic root of 67024 is about 40.6203300352.

The spelling of 67024 in words is "sixty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 59 71 118 142 236 284 472 568 944 1136 4189 8378 16756 33512 67024