Search a number
-
+
136878840 = 233257291873
BaseRepresentation
bin10000010100010…
…01101011111000
3100112120011110200
420022021223320
5240020110330
621325442200
73251310450
oct1012115370
9315504420
10136878840
11702a010a
1239a10360
13224867c7
1414270d60
15c03ba60
hex8289af8

136878840 has 192 divisors, whose sum is σ = 526219200. Its totient is φ = 30191616.

The previous prime is 136878827. The next prime is 136878853. The reversal of 136878840 is 48878631.

It is an interprime number because it is at equal distance from previous prime (136878827) and next prime (136878853).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72144 + ... + 74016.

It is an arithmetic number, because the mean of its divisors is an integer number (2740725).

Almost surely, 2136878840 is an apocalyptic number.

136878840 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 136878840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263109600).

136878840 is an abundant number, since it is smaller than the sum of its proper divisors (389340360).

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

136878840 is a wasteful number, since it uses less digits than its factorization.

136878840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 136878840 is about 11699.5230672024. The cubic root of 136878840 is about 515.3616588069.

It can be divided in two parts, 1368 and 78840, that added together give a palindrome (80208).

The spelling of 136878840 in words is "one hundred thirty-six million, eight hundred seventy-eight thousand, eight hundred forty".