Base | Representation |
---|---|
bin | 1001100100011… |
… | …0110000110100 |
3 | 2210112002212121 |
4 | 2121012300310 |
5 | 40233320412 |
6 | 3552125324 |
7 | 665101540 |
oct | 231066064 |
9 | 83462777 |
10 | 40135732 |
11 | 2072362a |
12 | 11536844 |
13 | 8413570 |
14 | 548aa20 |
15 | 37cc107 |
hex | 2646c34 |
40135732 has 48 divisors (see below), whose sum is σ = 87720192. Its totient is φ = 15644160.
The previous prime is 40135723. The next prime is 40135741. The reversal of 40135732 is 23753104.
It is an interprime number because it is at equal distance from previous prime (40135723) and next prime (40135741).
It is a super-2 number, since 2×401357322 = 3221753966351648, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 40135697 and 40135706.
It is a congruent number.
It is an unprimeable number.
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, 25068 + ... + 26620.
It is an arithmetic number, because the mean of its divisors is an integer number (1827504).
Almost surely, 240135732 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 40135732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43860096).
40135732 is an abundant number, since it is smaller than the sum of its proper divisors (47584460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40135732 is a wasteful number, since it uses less digits than its factorization.
40135732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 25.
The square root of 40135732 is about 6335.2767895334. The cubic root of 40135732 is about 342.3815833727.
Adding to 40135732 its reverse (23753104), we get a palindrome (63888836).
The spelling of 40135732 in words is "forty million, one hundred thirty-five thousand, seven hundred thirty-two".
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