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36271540 = 22517106681
BaseRepresentation
bin1000101001011…
…1010110110100
32112020210012101
42022113112310
533241142130
63333231444
7620205634
oct212272664
975223171
1036271540
1119524388
1210192584
13768c766
144b626c4
1532b71ca
hex22975b4

36271540 has 24 divisors (see below), whose sum is σ = 80651592. Its totient is φ = 13655040.

The previous prime is 36271537. The next prime is 36271541. The reversal of 36271540 is 4517263.

36271540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 702244 + 35569296 = 838^2 + 5964^2 .

It is a super-2 number, since 2×362715402 = 2631249227943200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36271499 and 36271508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36271541) 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 7 ways as a sum of consecutive naturals, for example, 53001 + ... + 53680.

It is an arithmetic number, because the mean of its divisors is an integer number (3360483).

Almost surely, 236271540 is an apocalyptic number.

It is an amenable number.

36271540 is an abundant number, since it is smaller than the sum of its proper divisors (44380052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36271540 is a wasteful number, since it uses less digits than its factorization.

36271540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106707 (or 106705 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 36271540 is about 6022.5858233818. The cubic root of 36271540 is about 331.0208363952.

The spelling of 36271540 in words is "thirty-six million, two hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 106681 213362 426724 533405 1066810 1813577 2133620 3627154 7254308 9067885 18135770 36271540