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136300300 = 225219233119
BaseRepresentation
bin10000001111111…
…00011100001100
3100111110202212021
420013330130030
5234343102200
621305215524
73243350653
oct1007743414
9314422767
10136300300
116aa35484
12397915a4
1322313386
141416019a
15be7541a
hex81fc70c

136300300 has 72 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 49389120.

The previous prime is 136300253. The next prime is 136300309. The reversal of 136300300 is 3003631.

It is not an unprimeable number, because it can be changed into a prime (136300309) by changing a digit.

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, 42141 + ... + 45259.

It is an arithmetic number, because the mean of its divisors is an integer number (4513600).

Almost surely, 2136300300 is an apocalyptic number.

136300300 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 136300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

136300300 is an abundant number, since it is smaller than the sum of its proper divisors (188678900).

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

136300300 is a wasteful number, since it uses less digits than its factorization.

136300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 136300300 is about 11674.7719463808. The cubic root of 136300300 is about 514.6345476554.

Adding to 136300300 its reverse (3003631), we get a palindrome (139303931).

The spelling of 136300300 in words is "one hundred thirty-six million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 3119 4370 6238 8740 10925 12476 15595 21850 31190 43700 59261 62380 71737 77975 118522 143474 155950 237044 286948 296305 311900 358685 592610 717370 1185220 1363003 1434740 1481525 1793425 2726006 2963050 3586850 5452012 5926100 6815015 7173700 13630030 27260060 34075075 68150150 136300300