Base | Representation |
---|---|
bin | 1010000011000… |
… | …0001110010000 |
3 | 2221021221222111 |
4 | 2200300032100 |
5 | 41241444220 |
6 | 4103115104 |
7 | 1021121530 |
oct | 240601620 |
9 | 87257874 |
10 | 42140560 |
11 | 21872910 |
12 | 12142a94 |
13 | 8965c57 |
14 | 584d4c0 |
15 | 3a7615a |
hex | 2830390 |
42140560 has 80 divisors (see below), whose sum is σ = 122170752. Its totient is φ = 13132800.
The previous prime is 42140543. The next prime is 42140561. The reversal of 42140560 is 6504124.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×421405602 = 3551653594227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (42140561) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2740 + ... + 9580.
Almost surely, 242140560 is an apocalyptic number.
42140560 is a gapful number since it is divisible by the number (40) 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 42140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61085376).
42140560 is an abundant number, since it is smaller than the sum of its proper divisors (80030192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42140560 is a wasteful number, since it uses less digits than its factorization.
42140560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6872 (or 6866 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
The square root of 42140560 is about 6491.5760798130. The cubic root of 42140560 is about 347.9900027956.
Adding to 42140560 its reverse (6504124), we get a palindrome (48644684).
The spelling of 42140560 in words is "forty-two million, one hundred forty thousand, five hundred sixty".
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