Base | Representation |
---|---|
bin | 1000110100110… |
… | …0011000011100 |
3 | 2120122110022121 |
4 | 2031030120130 |
5 | 33433404040 |
6 | 3401152324 |
7 | 626414452 |
oct | 215143034 |
9 | 76573277 |
10 | 37013020 |
11 | 19990480 |
12 | 1048b6a4 |
13 | 788c0c5 |
14 | 4cb69d2 |
15 | 33b1c4a |
hex | 234c61c |
37013020 has 48 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 13290560.
The previous prime is 37012993. The next prime is 37013023. The reversal of 37013020 is 2031073.
It is a junction number, because it is equal to n+sod(n) for n = 37012985 and 37013003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (37013023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17247 + ... + 19273.
It is an arithmetic number, because the mean of its divisors is an integer number (1788696).
Almost surely, 237013020 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).
37013020 is an abundant number, since it is smaller than the sum of its proper divisors (48844388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37013020 is a wasteful number, since it uses less digits than its factorization.
37013020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2130 (or 2128 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 16.
The square root of 37013020 is about 6083.8326735702. The cubic root of 37013020 is about 333.2612666425.
Adding to 37013020 its reverse (2031073), we get a palindrome (39044093).
The spelling of 37013020 in words is "thirty-seven million, thirteen thousand, twenty".
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