Base | Representation |
---|---|
bin | 1100100100011… |
… | …00001111110110 |
3 | 21100101111120220 |
4 | 12102030033312 |
5 | 203442311204 |
6 | 14243435210 |
7 | 2420105040 |
oct | 622141766 |
9 | 240344526 |
10 | 105432054 |
11 | 54571732 |
12 | 2b385b06 |
13 | 18ac6140 |
14 | 10006a90 |
15 | 93c91d9 |
hex | 648c3f6 |
105432054 has 64 divisors (see below), whose sum is σ = 267939840. Its totient is φ = 26904960.
The previous prime is 105432053. The next prime is 105432059. The reversal of 105432054 is 450234501.
It is a super-2 number, since 2×1054320542 = 22231836021317832, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105432053) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13812 + ... + 20040.
It is an arithmetic number, because the mean of its divisors is an integer number (4186560).
Almost surely, 2105432054 is an apocalyptic number.
105432054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 105432054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133969920).
105432054 is an abundant number, since it is smaller than the sum of its proper divisors (162507786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105432054 is a wasteful number, since it uses less digits than its factorization.
105432054 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6285.
The product of its (nonzero) digits is 2400, while the sum is 24.
The square root of 105432054 is about 10268.0111998381. The cubic root of 105432054 is about 472.4155914279.
Adding to 105432054 its reverse (450234501), we get a palindrome (555666555).
The spelling of 105432054 in words is "one hundred five million, four hundred thirty-two thousand, fifty-four".
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