Base | Representation |
---|---|
bin | 10010101100010010… |
… | …10111100100000000 |
3 | 221220101001112221100 |
4 | 21112021113210000 |
5 | 131023004342401 |
6 | 4335441454400 |
7 | 503453025111 |
oct | 112611274400 |
9 | 27811045840 |
10 | 10035230976 |
11 | 428a698621 |
12 | 1b40941400 |
13 | c3c0a43c4 |
14 | 6b2ad4208 |
15 | 3db01bb86 |
hex | 256257900 |
10035230976 has 81 divisors (see below), whose sum is σ = 28947915451. Its totient is φ = 3343474176.
The previous prime is 10035230939. The next prime is 10035230987. The reversal of 10035230976 is 67903253001.
The square root of 10035230976 is 100176.
It is a perfect power (a square), and thus also a powerful number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 10035230976.
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 8 ways as a sum of consecutive naturals, for example, 4807405 + ... + 4809491.
Almost surely, 210035230976 is an apocalyptic number.
10035230976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
10035230976 is the 100176-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10035230976
10035230976 is an abundant number, since it is smaller than the sum of its proper divisors (18912684475).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10035230976 is an frugal number, since it uses more digits than its factorization.
10035230976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4196 (or 2092 counting only the distinct ones).
The product of its (nonzero) digits is 34020, while the sum is 36.
Multiplying 10035230976 by its sum of digits (36), we get a square (361268315136 = 6010562).
10035230976 divided by its sum of digits (36) gives a square (278756416 = 166962).
Adding to 10035230976 its reverse (67903253001), we get a palindrome (77938483977).
It can be divided in two parts, 100352 and 30976, that added together give a triangular number (131328 = T512).
The spelling of 10035230976 in words is "ten billion, thirty-five million, two hundred thirty thousand, nine hundred seventy-six".
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