Base | Representation |
---|---|
bin | 100110110110… |
… | …1001001111010 |
3 | 1102022220110000 |
4 | 1031231021322 |
5 | 20203320132 |
6 | 2004333430 |
7 | 335066610 |
oct | 115551172 |
9 | 42286400 |
10 | 20370042 |
11 | 10553350 |
12 | 69a4276 |
13 | 42b29a4 |
14 | 29c36b0 |
15 | 1bc587c |
hex | 136d27a |
20370042 has 160 divisors (see below), whose sum is σ = 60217344. Its totient is φ = 4989600.
The previous prime is 20370023. The next prime is 20370059. The reversal of 20370042 is 24007302.
It is a happy number.
It is a super-2 number, since 2×203700422 = 829877222163528, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 20369997 and 20370024.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286867 + ... + 286937.
Almost surely, 220370042 is an apocalyptic number.
20370042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 20370042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108672).
20370042 is an abundant number, since it is smaller than the sum of its proper divisors (39847302).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20370042 is a wasteful number, since it uses less digits than its factorization.
20370042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 126 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 20370042 is about 4513.3182914570. The cubic root of 20370042 is about 273.1056226969.
Adding to 20370042 its reverse (24007302), we get a palindrome (44377344).
The spelling of 20370042 in words is "twenty million, three hundred seventy thousand, forty-two".
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