Base | Representation |
---|---|
bin | 1101110000010… |
… | …0011110010000 |
3 | 11000112221210200 |
4 | 3130010132100 |
5 | 104232040000 |
6 | 5420255200 |
7 | 1300233264 |
oct | 334043620 |
9 | 130487720 |
10 | 57690000 |
11 | 2a623395 |
12 | 173a1500 |
13 | bc4b6c4 |
14 | 793a0a4 |
15 | 50e8500 |
hex | 3704790 |
57690000 has 150 divisors (see below), whose sum is σ = 202065006. Its totient is φ = 15360000.
The previous prime is 57689999. The next prime is 57690011. The reversal of 57690000 is 9675.
57690000 is a `hidden beast` number, since 576 + 90 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 5 ways, for example, as 10575504 + 47114496 = 3252^2 + 6864^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a super-2 number, since 2×576900002 = 6656272200000000, which contains 22 as substring.
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 29 ways as a sum of consecutive naturals, for example, 89680 + ... + 90320.
Almost surely, 257690000 is an apocalyptic number.
57690000 is a gapful number since it is divisible by the number (50) 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 57690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101032503).
57690000 is an abundant number, since it is smaller than the sum of its proper divisors (144375006).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57690000 is a wasteful number, since it uses less digits than its factorization.
57690000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 675 (or 651 counting only the distinct ones).
The product of its (nonzero) digits is 1890, while the sum is 27.
The square root of 57690000 is about 7595.3933407033. The cubic root of 57690000 is about 386.3967927926.
Adding to 57690000 its reverse (9675), we get a palindrome (57699675).
It can be divided in two parts, 576 and 90000, that multiplied together give a square (51840000 = 72002).
The spelling of 57690000 in words is "fifty-seven million, six hundred ninety thousand".
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