Search a number
-
+
136816488 = 233211811609
BaseRepresentation
bin10000010011110…
…10011101101000
3100112102222221100
420021322131220
5240011111423
621324241400
73250630614
oct1011723550
9315388840
10136816488
1170258286
12399a0260
1322464303
1414256344
15c028343
hex827a768

136816488 has 48 divisors (see below), whose sum is σ = 371088900. Its totient is φ = 45538560.

The previous prime is 136816487. The next prime is 136816501. The reversal of 136816488 is 884618631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97653924 + 39162564 = 9882^2 + 6258^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136816481) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84228 + ... + 85836.

Almost surely, 2136816488 is an apocalyptic number.

136816488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136816488 is an abundant number, since it is smaller than the sum of its proper divisors (234272412).

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

136816488 is a wasteful number, since it uses less digits than its factorization.

136816488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2795 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 136816488 is about 11696.8580396618. The cubic root of 136816488 is about 515.2833932141.

The spelling of 136816488 in words is "one hundred thirty-six million, eight hundred sixteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1181 1609 2362 3218 3543 4724 4827 6436 7086 9448 9654 10629 12872 14172 14481 19308 21258 28344 28962 38616 42516 57924 85032 115848 1900229 3800458 5700687 7600916 11401374 15201832 17102061 22802748 34204122 45605496 68408244 136816488