Search a number
-
+
159138036 = 22323723229
BaseRepresentation
bin10010111110001…
…00000011110100
3102002110001100100
421133010003310
5311214404121
623442514100
73641436201
oct1137040364
9362401310
10159138036
1181913842
1245365930
1326c7b325
14171c6ca8
15de87026
hex97c40f4

159138036 has 54 divisors (see below), whose sum is σ = 413559510. Its totient is φ = 51596352.

The previous prime is 159138011. The next prime is 159138047. The reversal of 159138036 is 630831951.

It is a happy number.

159138036 is a `hidden beast` number, since 1 + 591 + 38 + 0 + 36 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73205136 + 85932900 = 8556^2 + 9270^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 47670 + ... + 50898.

Almost surely, 2159138036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159138036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206779755).

159138036 is an abundant number, since it is smaller than the sum of its proper divisors (254421474).

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

159138036 is a wasteful number, since it uses less digits than its factorization.

159138036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3271 counting only the distinct ones).

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

The square root of 159138036 is about 12614.9925089157. The cubic root of 159138036 is about 541.9068797869.

Adding to 159138036 its reverse (630831951), we get a palindrome (789969987).

The spelling of 159138036 in words is "one hundred fifty-nine million, one hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 3229 4107 5476 6458 8214 9687 12321 12916 16428 19374 24642 29061 38748 49284 58122 116244 119473 238946 358419 477892 716838 1075257 1433676 2150514 4301028 4420501 8841002 13261503 17682004 26523006 39784509 53046012 79569018 159138036