Search a number
-
+
136229670 = 232517269331
BaseRepresentation
bin10000001111010…
…11001100100110
3100111100011222100
420013223030212
5234333322140
621303512530
73242635023
oct1007531446
9314304870
10136229670
116a997405
1239758746
13222ba195
141414254a
15be5e530
hex81eb326

136229670 has 96 divisors (see below), whose sum is σ = 377563680. Its totient is φ = 33960960.

The previous prime is 136229627. The next prime is 136229683. The reversal of 136229670 is 76922631.

136229670 is a `hidden beast` number, since 1 + 362 + 296 + 7 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 411405 + ... + 411735.

It is an arithmetic number, because the mean of its divisors is an integer number (3932955).

Almost surely, 2136229670 is an apocalyptic number.

136229670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136229670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188781840).

136229670 is an abundant number, since it is smaller than the sum of its proper divisors (241334010).

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

136229670 is a wasteful number, since it uses less digits than its factorization.

136229670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 136229670 is about 11671.7466559209. The cubic root of 136229670 is about 514.5456387817.

The spelling of 136229670 in words is "one hundred thirty-six million, two hundred twenty-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 269 306 331 510 538 662 765 807 993 1345 1530 1614 1655 1986 2421 2690 2979 3310 4035 4573 4842 4965 5627 5958 8070 9146 9930 11254 12105 13719 14895 16881 22865 24210 27438 28135 29790 33762 41157 45730 50643 56270 68595 82314 84405 89039 101286 137190 168810 178078 205785 253215 267117 411570 445195 506430 534234 801351 890390 1335585 1513663 1602702 2671170 3027326 4006755 4540989 7568315 8013510 9081978 13622967 15136630 22704945 27245934 45409890 68114835 136229670