Search a number
-
+
135398304 = 253452237
BaseRepresentation
bin10000001001000…
…00001110100000
3100102202221120000
420010200032200
5234130221204
621234020000
73232603146
oct1004401640
9312687500
10135398304
116a479828
1239417600
1322088952
1413da7596
15bd48039
hex81203a0

135398304 has 60 divisors (see below), whose sum is σ = 398210274. Its totient is φ = 45131904.

The previous prime is 135398293. The next prime is 135398321. The reversal of 135398304 is 403893531.

It can be written as a sum of positive squares in only one way, i.e., 120560400 + 14837904 = 10980^2 + 3852^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23527 + ... + 28710.

Almost surely, 2135398304 is an apocalyptic number.

It is an amenable number.

135398304 is an abundant number, since it is smaller than the sum of its proper divisors (262811970).

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

135398304 is an equidigital number, since it uses as much as digits as its factorization.

135398304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52259 (or 52242 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 135398304 is about 11636.0776896685. The cubic root of 135398304 is about 513.4967999479.

The spelling of 135398304 in words is "one hundred thirty-five million, three hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 52237 104474 156711 208948 313422 417896 470133 626844 835792 940266 1253688 1410399 1671584 1880532 2507376 2820798 3761064 4231197 5014752 5641596 7522128 8462394 11283192 15044256 16924788 22566384 33849576 45132768 67699152 135398304