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36705713 = 112614973
BaseRepresentation
bin1000110000000…
…1010110110001
32120001211202212
42030001112301
533344040323
63350421505
7623664512
oct214012661
976054685
1036705713
11197a0600
1210361895
1377b2275
144c36a09
153350b78
hex23015b1

36705713 has 12 divisors (see below), whose sum is σ = 41015604. Its totient is φ = 32815200.

The previous prime is 36705707. The next prime is 36705751. The reversal of 36705713 is 31750763.

It can be written as a sum of positive squares in 2 ways, for example, as 10316944 + 26388769 = 3212^2 + 5137^2 .

It is a de Polignac number, because none of the positive numbers 2k-36705713 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36705713.

It is not an unprimeable number, because it can be changed into a prime (36705913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4895 + ... + 9867.

It is an arithmetic number, because the mean of its divisors is an integer number (3417967).

Almost surely, 236705713 is an apocalyptic number.

It is an amenable number.

36705713 is a deficient number, since it is larger than the sum of its proper divisors (4309891).

36705713 is a wasteful number, since it uses less digits than its factorization.

36705713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 36705713 is about 6058.5239951658. The cubic root of 36705713 is about 332.3363824617.

The spelling of 36705713 in words is "thirty-six million, seven hundred five thousand, seven hundred thirteen".

Divisors: 1 11 61 121 671 4973 7381 54703 303353 601733 3336883 36705713