Base | Representation |
---|---|
bin | 1000100111011… |
… | …1010000001000 |
3 | 2112000002211000 |
4 | 2021313100020 |
5 | 33222440130 |
6 | 3330335000 |
7 | 616120356 |
oct | 211672010 |
9 | 75002730 |
10 | 36140040 |
11 | 19444602 |
12 | 1012a460 |
13 | 7644951 |
14 | 4b2a7d6 |
15 | 328d260 |
hex | 2277408 |
36140040 has 128 divisors (see below), whose sum is σ = 121968000. Its totient is φ = 9517824.
The previous prime is 36140029. The next prime is 36140053. The reversal of 36140040 is 4004163.
It is a super-2 number, since 2×361400402 = 2612204982403200, 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 = 36139995 and 36140022.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117567 + ... + 117873.
It is an arithmetic number, because the mean of its divisors is an integer number (952875).
Almost surely, 236140040 is an apocalyptic number.
36140040 is a gapful number since it is divisible by the number (30) 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 36140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984000).
36140040 is an abundant number, since it is smaller than the sum of its proper divisors (85827960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36140040 is a wasteful number, since it uses less digits than its factorization.
36140040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 436 (or 426 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 36140040 is about 6011.6586729454. The cubic root of 36140040 is about 330.6203208184.
It can be divided in two parts, 361 and 40040, that added together give a square (40401 = 2012).
The spelling of 36140040 in words is "thirty-six million, one hundred forty thousand, forty".
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