Base | Representation |
---|---|
bin | 1001001101010… |
… | …01011011000000 |
3 | 12101100012100202 |
4 | 10212221123000 |
5 | 124233140000 |
6 | 11355304332 |
7 | 1625346335 |
oct | 446513300 |
9 | 171305322 |
10 | 77240000 |
11 | 3a666612 |
12 | 21a4b0a8 |
13 | 13005056 |
14 | a38898c |
15 | 6baadd5 |
hex | 49a96c0 |
77240000 has 70 divisors (see below), whose sum is σ = 191629284. Its totient is φ = 30880000.
The previous prime is 77239999. The next prime is 77240041. The reversal of 77240000 is 4277.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39035 + ... + 40965.
Almost surely, 277240000 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 77240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95814642).
77240000 is an abundant number, since it is smaller than the sum of its proper divisors (114389284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77240000 is an equidigital number, since it uses as much as digits as its factorization.
77240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1963 (or 1938 counting only the distinct ones).
The product of its (nonzero) digits is 392, while the sum is 20.
The square root of 77240000 is about 8788.6290170879. The cubic root of 77240000 is about 425.8736354392.
Adding to 77240000 its reverse (4277), we get a palindrome (77244277).
The spelling of 77240000 in words is "seventy-seven million, two hundred forty thousand".
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