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36135981 = 3272671223
BaseRepresentation
bin1000100111011…
…0010000101101
32111222220020200
42021312100231
533222322411
63330304113
7616102500
oct211662055
974886220
1036135981
1119441552
1210128039
137642b4b
144b29137
15328be56
hex227642d

36135981 has 36 divisors (see below), whose sum is σ = 61674912. Its totient is φ = 20324304.

The previous prime is 36135941. The next prime is 36135989. The reversal of 36135981 is 18953163.

It is a happy number.

36135981 is a `hidden beast` number, since 3 + 61 + 3 + 598 + 1 = 666.

It is not a de Polignac number, because 36135981 - 217 = 36004909 is a prime.

It is a super-2 number, since 2×361359812 = 2611618245664722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36135989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28936 + ... + 30158.

It is an arithmetic number, because the mean of its divisors is an integer number (1713192).

Almost surely, 236135981 is an apocalyptic number.

It is an amenable number.

36135981 is a deficient number, since it is larger than the sum of its proper divisors (25538931).

36135981 is a wasteful number, since it uses less digits than its factorization.

36135981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 36135981 is about 6011.3210694489. The cubic root of 36135981 is about 330.6079426903.

The spelling of 36135981 in words is "thirty-six million, one hundred thirty-five thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 67 147 201 441 469 603 1223 1407 3283 3669 4221 8561 9849 11007 25683 29547 59927 77049 81941 179781 245823 539343 573587 737469 1720761 4015109 5162283 12045327 36135981