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36868240 = 2451727109
BaseRepresentation
bin1000110010100…
…1000010010000
32120101002201101
42030221002100
533414240430
63354114144
7625242403
oct214510220
976332641
1036868240
11198a1722
121041b954
13783b236
144c79d3a
153383dca
hex2329090

36868240 has 40 divisors (see below), whose sum is σ = 90764280. Its totient is φ = 13879296.

The previous prime is 36868219. The next prime is 36868261. The reversal of 36868240 is 4286863.

It is an interprime number because it is at equal distance from previous prime (36868219) and next prime (36868261).

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 32080896 = 2188^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 36868240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12195 + ... + 14914.

It is an arithmetic number, because the mean of its divisors is an integer number (2269107).

Almost surely, 236868240 is an apocalyptic number.

It is an amenable number.

36868240 is an abundant number, since it is smaller than the sum of its proper divisors (53896040).

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

36868240 is a wasteful number, since it uses less digits than its factorization.

36868240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27139 (or 27133 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 36868240 is about 6071.9222656421. The cubic root of 36868240 is about 332.8261709726.

The spelling of 36868240 in words is "thirty-six million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 27109 54218 108436 135545 216872 271090 433744 460853 542180 921706 1084360 1843412 2168720 2304265 3686824 4608530 7373648 9217060 18434120 36868240