Base | Representation |
---|---|
bin | 1000000001110… |
… | …11010100100000 |
3 | 11200201211100121 |
4 | 10000323110200 |
5 | 114220224330 |
6 | 10403330024 |
7 | 1445324023 |
oct | 400732440 |
9 | 150654317 |
10 | 67351840 |
11 | 35022486 |
12 | 1a680914 |
13 | 10c5237a |
14 | 8d331ba |
15 | 5da617a |
hex | 403b520 |
67351840 has 96 divisors (see below), whose sum is σ = 169150464. Its totient is φ = 25297920.
The previous prime is 67351831. The next prime is 67351847. The reversal of 67351840 is 4815376.
It is a junction number, because it is equal to n+sod(n) for n = 67351796 and 67351805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67351847) 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, 183337 + ... + 183703.
It is an arithmetic number, because the mean of its divisors is an integer number (1761984).
Almost surely, 267351840 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 67351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84575232).
67351840 is an abundant number, since it is smaller than the sum of its proper divisors (101798624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67351840 is a wasteful number, since it uses less digits than its factorization.
67351840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 442 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 34.
The square root of 67351840 is about 8206.8166788347. The cubic root of 67351840 is about 406.8645219548.
Subtracting from 67351840 its reverse (4815376), we obtain a square (62536464 = 79082).
The spelling of 67351840 in words is "sixty-seven million, three hundred fifty-one thousand, eight hundred forty".
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