Search a number
-
+
136414278 = 2327111367113
BaseRepresentation
bin10000010000110…
…00010001000110
3100111200120012200
420020120101012
5234410224103
621311455330
73244334160
oct1010302106
9314616180
10136414278
1170003080
1239827546
1322353210
141418d930
15be990a3
hex8218446

136414278 has 192 divisors, whose sum is σ = 406328832. Its totient is φ = 31933440.

The previous prime is 136414261. The next prime is 136414279. The reversal of 136414278 is 872414631.

136414278 is a `hidden beast` number, since 1 + 3 + 641 + 4 + 2 + 7 + 8 = 666.

It is a super-2 number, since 2×1364142782 = 37217710484522568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136414279) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207150 + ... + 1207262.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2136414278 is an apocalyptic number.

136414278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136414278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164416).

136414278 is an abundant number, since it is smaller than the sum of its proper divisors (269914554).

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

136414278 is a wasteful number, since it uses less digits than its factorization.

136414278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 216 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 136414278 is about 11679.6523064687. The cubic root of 136414278 is about 514.7779581342. Note that the first 3 decimals are identical.

It can be divided in two parts, 136 and 414278, that added together give a palindrome (414414).

The spelling of 136414278 in words is "one hundred thirty-six million, four hundred fourteen thousand, two hundred seventy-eight".