Search a number
-
+
136801280 = 2105711347
BaseRepresentation
bin10000010011101…
…10110000000000
3100112102020002002
420021312300000
5240010120110
621324043132
73250535360
oct1011666000
9315366062
10136801280
1170247910
12399934a8
132245a405
14142509a0
15c023aa5
hex8276c00

136801280 has 176 divisors, whose sum is σ = 410317056. Its totient is φ = 42516480.

The previous prime is 136801279. The next prime is 136801283. The reversal of 136801280 is 82108631.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (136801283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394067 + ... + 394413.

Almost surely, 2136801280 is an apocalyptic number.

136801280 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 136801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205158528).

136801280 is an abundant number, since it is smaller than the sum of its proper divisors (273515776).

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

136801280 is a wasteful number, since it uses less digits than its factorization.

136801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 136801280 is about 11696.2079324882. The cubic root of 136801280 is about 515.2643001932.

The spelling of 136801280 in words is "one hundred thirty-six million, eight hundred one thousand, two hundred eighty".