Search a number
-
+
136303776 = 2533731727
BaseRepresentation
bin10000001111111…
…01010010100000
3100111110221122000
420013331102200
5234343210101
621305244000
73243364050
oct1007752240
9314427560
10136303776
116aa38054
1239793600
1322314b2b
1414161560
15be76486
hex81fd4a0

136303776 has 192 divisors, whose sum is σ = 469647360. Its totient is φ = 37635840.

The previous prime is 136303771. The next prime is 136303781. The reversal of 136303776 is 677303631.

136303776 is a `hidden beast` number, since 13 + 630 + 3 + 7 + 7 + 6 = 666.

136303776 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (136303771) and next prime (136303781).

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

It is a self number, because there is not a number n which added to its sum of digits gives 136303776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136303771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187125 + ... + 187851.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2136303776 is an apocalyptic number.

136303776 is a gapful number since it is divisible by the number (16) 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 136303776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

136303776 is an abundant number, since it is smaller than the sum of its proper divisors (333343584).

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

136303776 is a wasteful number, since it uses less digits than its factorization.

136303776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 136303776 is about 11674.9208134360. The cubic root of 136303776 is about 514.6389224427.

The spelling of 136303776 in words is "one hundred thirty-six million, three hundred three thousand, seven hundred seventy-six".