Search a number
-
+
36124137 = 3677079
BaseRepresentation
bin1000100111001…
…1010111101001
32111222022000000
42021303113221
533221433022
63330133213
7616023120
oct211632751
974868000
1036124137
1119433665
1210121209
13763a63a
144b24ab7
1532886ac
hex22735e9

36124137 has 28 divisors (see below), whose sum is σ = 61907520. Its totient is φ = 20639448.

The previous prime is 36124129. The next prime is 36124141. The reversal of 36124137 is 73142163.

36124137 is a `hidden beast` number, since 3 + 612 + 41 + 3 + 7 = 666.

It is not a de Polignac number, because 36124137 - 23 = 36124129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36124137.

It is not an unprimeable number, because it can be changed into a prime (36124117) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1564 + ... + 8642.

Almost surely, 236124137 is an apocalyptic number.

It is an amenable number.

36124137 is a deficient number, since it is larger than the sum of its proper divisors (25783383).

36124137 is an frugal number, since it uses more digits than its factorization.

36124137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 7089 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 36124137 is about 6010.3358475213. The cubic root of 36124137 is about 330.5718185075.

The spelling of 36124137 in words is "thirty-six million, one hundred twenty-four thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 7079 21237 49553 63711 148659 191133 445977 573399 1337931 1720197 4013793 5160591 12041379 36124137