Search a number
-
+
136427466 = 23723114969
BaseRepresentation
bin10000010000110…
…11011111001010
3100111201020022010
420020123133022
5234411134331
621312040350
73244420500
oct1010333712
9314636263
10136427466
1170011a7a
12398330b6
1322359216
1414194670
15be9ce46
hex821b7ca

136427466 has 48 divisors (see below), whose sum is σ = 327663360. Its totient is φ = 37719360.

The previous prime is 136427419. The next prime is 136427471. The reversal of 136427466 is 664724631.

It is a happy number.

It is a super-2 number, since 2×1364274662 = 37224906958362312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630 + ... + 16598.

It is an arithmetic number, because the mean of its divisors is an integer number (6826320).

Almost surely, 2136427466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136427466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163831680).

136427466 is an abundant number, since it is smaller than the sum of its proper divisors (191235894).

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

136427466 is a wasteful number, since it uses less digits than its factorization.

136427466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15019 (or 15012 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 136427466 is about 11680.2168644251. The cubic root of 136427466 is about 514.7945465076.

The spelling of 136427466 in words is "one hundred thirty-six million, four hundred twenty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 14969 29938 44907 89814 104783 209566 314349 464039 628698 733481 928078 1392117 1466962 2200443 2784234 3248273 4400886 6496546 9744819 19489638 22737911 45475822 68213733 136427466