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134089320 = 23357315307
BaseRepresentation
bin1111111111000…
…00101001101000
3100100022102222010
413333200221220
5233311324240
621145555520
73215511651
oct777405150
9310272863
10134089320
1169765322
1238aa5ba0
1321a1abc1
1413b46528
15bb8a280
hex7fe0a68

134089320 has 64 divisors (see below), whose sum is σ = 407805120. Its totient is φ = 35265024.

The previous prime is 134089313. The next prime is 134089321. The reversal of 134089320 is 23980431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134089321) 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, 1107 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (6371955).

Almost surely, 2134089320 is an apocalyptic number.

134089320 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 134089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203902560).

134089320 is an abundant number, since it is smaller than the sum of its proper divisors (273715800).

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

134089320 is a wasteful number, since it uses less digits than its factorization.

134089320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 134089320 is about 11579.6942964830. The cubic root of 134089320 is about 511.8366686863.

134089320 divided by its sum of digits (30) gives a palindrome (4469644).

The spelling of 134089320 in words is "one hundred thirty-four million, eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 15307 30614 45921 61228 76535 91842 122456 153070 183684 229605 306140 367368 459210 612280 918420 1117411 1836840 2234822 3352233 4469644 5587055 6704466 8939288 11174110 13408932 16761165 22348220 26817864 33522330 44696440 67044660 134089320