Search a number
-
+
136247592 = 233134110651
BaseRepresentation
bin10000001111011…
…11100100101000
3100111101002120010
420013233210220
5234334410332
621304131520
73243041205
oct1007574450
9314332503
10136247592
116a9a9918
1239766ba0
13222c53a0
1414148cac
15be649cc
hex81ef928

136247592 has 64 divisors (see below), whose sum is σ = 375802560. Its totient is φ = 40896000.

The previous prime is 136247581. The next prime is 136247609. The reversal of 136247592 is 295742631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 136247592.

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 15 ways as a sum of consecutive naturals, for example, 7467 + ... + 18117.

It is an arithmetic number, because the mean of its divisors is an integer number (5871915).

Almost surely, 2136247592 is an apocalyptic number.

136247592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136247592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187901280).

136247592 is an abundant number, since it is smaller than the sum of its proper divisors (239554968).

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

136247592 is a wasteful number, since it uses less digits than its factorization.

136247592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10710 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 136247592 is about 11672.5143820858. The cubic root of 136247592 is about 514.5682018611.

The spelling of 136247592 in words is "one hundred thirty-six million, two hundred forty-seven thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 10651 12792 21302 31953 42604 63906 85208 127812 138463 255624 276926 415389 436691 553852 830778 873382 1107704 1310073 1661556 1746764 2620146 3323112 3493528 5240292 5676983 10480584 11353966 17030949 22707932 34061898 45415864 68123796 136247592