Base | Representation |
---|---|
bin | 110111011101… |
… | …0001101000000 |
3 | 2000201010100201 |
4 | 1232322031000 |
5 | 24420333430 |
6 | 2515054544 |
7 | 502061356 |
oct | 156721500 |
9 | 60633321 |
10 | 29074240 |
11 | 154589a8 |
12 | 98a1454 |
13 | 603c7c0 |
14 | 3c0b7d6 |
15 | 28448ca |
hex | 1bba340 |
29074240 has 112 divisors (see below), whose sum is σ = 77449680. Its totient is φ = 10321920.
The previous prime is 29074223. The next prime is 29074259. The reversal of 29074240 is 4247092.
It can be written as a sum of positive squares in 8 ways, for example, as 430336 + 28643904 = 656^2 + 5352^2 .
It is a super-2 number, since 2×290742402 = 1690622863155200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 29074199 and 29074208.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120520 + ... + 120760.
It is an arithmetic number, because the mean of its divisors is an integer number (691515).
Almost surely, 229074240 is an apocalyptic number.
29074240 is a gapful number since it is divisible by the number (20) 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 29074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724840).
29074240 is an abundant number, since it is smaller than the sum of its proper divisors (48375440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29074240 is a wasteful number, since it uses less digits than its factorization.
29074240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 300 (or 290 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 28.
The square root of 29074240 is about 5392.0534121984. The cubic root of 29074240 is about 307.4936302027.
It can be divided in two parts, 290 and 74240, that multiplied together give a square (21529600 = 46402).
The spelling of 29074240 in words is "twenty-nine million, seventy-four thousand, two hundred forty".
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