Base | Representation |
---|---|
bin | 1001001001101… |
… | …10101100110100 |
3 | 12100110022210001 |
4 | 10210312230310 |
5 | 124123120400 |
6 | 11341241044 |
7 | 1621351351 |
oct | 444665464 |
9 | 170408701 |
10 | 76770100 |
11 | 3a375570 |
12 | 21863184 |
13 | 12b9c1c4 |
14 | a2a5628 |
15 | 6b16a6a |
hex | 4936b34 |
76770100 has 72 divisors (see below), whose sum is σ = 183800736. Its totient is φ = 27600000.
The previous prime is 76770097. The next prime is 76770119. The reversal of 76770100 is 107767.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110755 + ... + 111445.
It is an arithmetic number, because the mean of its divisors is an integer number (2552788).
Almost surely, 276770100 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 76770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91900368).
76770100 is an abundant number, since it is smaller than the sum of its proper divisors (107030636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76770100 is a wasteful number, since it uses less digits than its factorization.
76770100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 817 (or 810 counting only the distinct ones).
The product of its (nonzero) digits is 2058, while the sum is 28.
The square root of 76770100 is about 8761.8548264623. The cubic root of 76770100 is about 425.0082582017.
Adding to 76770100 its reverse (107767), we get a palindrome (76877867).
The spelling of 76770100 in words is "seventy-six million, seven hundred seventy thousand, one hundred".
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