Base | Representation |
---|---|
bin | 1000000001110… |
… | …11101101001100 |
3 | 11200201220112010 |
4 | 10000323231030 |
5 | 114220302140 |
6 | 10403341220 |
7 | 1445331441 |
oct | 400735514 |
9 | 150656463 |
10 | 67353420 |
11 | 35023692 |
12 | 1a681810 |
13 | 10c52cc4 |
14 | 8d339c8 |
15 | 5da6880 |
hex | 403bb4c |
67353420 has 48 divisors (see below), whose sum is σ = 190723680. Its totient is φ = 17757696.
The previous prime is 67353401. The next prime is 67353427. The reversal of 67353420 is 2435376.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (67353427) 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, 967 + ... + 11646.
It is an arithmetic number, because the mean of its divisors is an integer number (3973410).
Almost surely, 267353420 is an apocalyptic number.
67353420 is a gapful number since it is divisible by the number (60) 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 67353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95361840).
67353420 is an abundant number, since it is smaller than the sum of its proper divisors (123370260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67353420 is a wasteful number, since it uses less digits than its factorization.
67353420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12714 (or 12712 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 30.
The square root of 67353420 is about 8206.9129397113. The cubic root of 67353420 is about 406.8677034612.
Adding to 67353420 its reverse (2435376), we get a palindrome (69788796).
The spelling of 67353420 in words is "sixty-seven million, three hundred fifty-three thousand, four hundred twenty".
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