Base | Representation |
---|---|
bin | 1000111011111… |
… | …1001010000100 |
3 | 2121112100012110 |
4 | 2032333022010 |
5 | 34043430030 |
6 | 3415221020 |
7 | 633413202 |
oct | 216771204 |
9 | 77470173 |
10 | 37483140 |
11 | 1a181702 |
12 | 10677770 |
13 | 79c5096 |
14 | 4d9a072 |
15 | 34561b0 |
hex | 23bf284 |
37483140 has 48 divisors (see below), whose sum is σ = 105259392. Its totient is φ = 9966336.
The previous prime is 37483133. The next prime is 37483141. The reversal of 37483140 is 4138473.
37483140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 37483098 and 37483107.
It is not an unprimeable number, because it can be changed into a prime (37483141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26737 + ... + 28103.
It is an arithmetic number, because the mean of its divisors is an integer number (2192904).
Almost surely, 237483140 is an apocalyptic number.
37483140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
37483140 is an abundant number, since it is smaller than the sum of its proper divisors (67776252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37483140 is a wasteful number, since it uses less digits than its factorization.
37483140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 30.
The square root of 37483140 is about 6122.3475889564. The cubic root of 37483140 is about 334.6663046791. Note that the first 3 decimals are identical.
The spelling of 37483140 in words is "thirty-seven million, four hundred eighty-three thousand, one hundred forty".
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