Base | Representation |
---|---|
bin | 1000000001010… |
… | …01110100001000 |
3 | 11200121011222220 |
4 | 10000221310020 |
5 | 114210431021 |
6 | 10402014040 |
7 | 1444605000 |
oct | 400516410 |
9 | 150534886 |
10 | 67280136 |
11 | 34a83620 |
12 | 1a647320 |
13 | 10c28841 |
14 | 8d15000 |
15 | 5d8ecc6 |
hex | 4029d08 |
67280136 has 128 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 17451840.
The previous prime is 67280131. The next prime is 67280149. The reversal of 67280136 is 63108276.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 67280097 and 67280106.
It is not an unprimeable number, because it can be changed into a prime (67280131) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90181 + ... + 90923.
It is an arithmetic number, because the mean of its divisors is an integer number (1674000).
Almost surely, 267280136 is an apocalyptic number.
67280136 is a gapful number since it is divisible by the number (66) 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 67280136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).
67280136 is an abundant number, since it is smaller than the sum of its proper divisors (146991864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67280136 is a wasteful number, since it uses less digits than its factorization.
67280136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 784 (or 766 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 33.
The square root of 67280136 is about 8202.4469519772. The cubic root of 67280136 is about 406.7200855504.
It can be divided in two parts, 672 and 80136, that added together give a palindrome (80808).
The spelling of 67280136 in words is "sixty-seven million, two hundred eighty thousand, one hundred thirty-six".
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