Search a number
-
+
136673460 = 2233571119173
BaseRepresentation
bin10000010010101…
…11100010110100
3100112011201202000
420021113202310
5234442022320
621321215300
73246463620
oct1011274264
9315151660
10136673460
117016a880
1239931530
1322414191
141421a180
15beeac90
hex82578b4

136673460 has 384 divisors, whose sum is σ = 561254400. Its totient is φ = 26749440.

The previous prime is 136673443. The next prime is 136673477. The reversal of 136673460 is 64376631.

It is a happy number.

136673460 is a `hidden beast` number, since 136 + 67 + 3 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (136673443) and next prime (136673477).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 789934 + ... + 790106.

It is an arithmetic number, because the mean of its divisors is an integer number (1461600).

Almost surely, 2136673460 is an apocalyptic number.

136673460 is a gapful number since it is divisible by the number (10) 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 136673460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280627200).

136673460 is an abundant number, since it is smaller than the sum of its proper divisors (424580940).

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

136673460 is a wasteful number, since it uses less digits than its factorization.

136673460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 136673460 is about 11690.7424913904. The cubic root of 136673460 is about 515.1037714664.

The spelling of 136673460 in words is "one hundred thirty-six million, six hundred seventy-three thousand, four hundred sixty".