Base | Representation |
---|---|
bin | 111111111110… |
… | …000000000001 |
3 | 1011112221210000 |
4 | 333332000001 |
5 | 13243102100 |
6 | 1355230213 |
7 | 262351200 |
oct | 77760001 |
9 | 34487700 |
10 | 16769025 |
11 | 95138a9 |
12 | 5748369 |
13 | 3621900 |
14 | 2327237 |
15 | 1713900 |
hex | ffe001 |
16769025 has 135 divisors (see below), whose sum is σ = 39126681. Its totient is φ = 7076160.
The previous prime is 16769023. The next prime is 16769033. The reversal of 16769025 is 52096761.
16769025 = 13 + 23 + ... + 903.
The square root of 16769025 is 4095.
It is a perfect power (a square), and thus also a powerful number.
16769025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 4322241 + 12446784 = 2079^2 + 3528^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 16769025 - 21 = 16769023 is a prime.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (16769023) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1289919 + ... + 1289931.
It is a Proth number, since it is equal to 2047 ⋅ 213 + 1 and 2047 < 213.
Almost surely, 216769025 is an apocalyptic number.
16769025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
16769025 is the 4095-th square number.
16769025 is the 2048-th centered octagonal number.
It is an amenable number.
16769025 is an abundant number, since it is smaller than the sum of its proper divisors (22357656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16769025 is a wasteful number, since it uses less digits than its factorization.
16769025 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 36.
The cubic root of 16769025 is about 255.9583316377.
Multiplying 16769025 by its sum of digits (36), we get a square (603684900 = 245702).
It can be divided in two parts, 1676 and 9025, that added together give a palindrome (10701).
The spelling of 16769025 in words is "sixteen million, seven hundred sixty-nine thousand, twenty-five".
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