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136220310 = 232519372153
BaseRepresentation
bin10000001111010…
…00111010010110
3100111022201010200
420013220322112
5234333022220
621303401330
73242565522
oct1007507226
9314281120
10136220310
116a990376
1239753246
13222b5b45
141413cd82
15be5b890
hex81e8e96

136220310 has 96 divisors (see below), whose sum is σ = 383067360. Its totient is φ = 33467904.

The previous prime is 136220297. The next prime is 136220317. The reversal of 136220310 is 13022631.

136220310 is a `hidden beast` number, since 13 + 622 + 0 + 31 + 0 = 666.

It is a super-2 number, since 2×1362203102 = 37111945712992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136220317) 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 47 ways as a sum of consecutive naturals, for example, 62194 + ... + 64346.

It is an arithmetic number, because the mean of its divisors is an integer number (3990285).

Almost surely, 2136220310 is an apocalyptic number.

136220310 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 136220310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191533680).

136220310 is an abundant number, since it is smaller than the sum of its proper divisors (246847050).

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

136220310 is a wasteful number, since it uses less digits than its factorization.

136220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136220310 is about 11671.3456807688. The cubic root of 136220310 is about 514.5338541304.

Adding to 136220310 its reverse (13022631), we get a palindrome (149242941).

The spelling of 136220310 in words is "one hundred thirty-six million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 370 555 570 666 703 855 1110 1406 1665 1710 2109 2153 3330 3515 4218 4306 6327 6459 7030 10545 10765 12654 12918 19377 21090 21530 31635 32295 38754 40907 63270 64590 79661 81814 96885 122721 159322 193770 204535 238983 245442 368163 398305 409070 477966 613605 716949 736326 796610 1194915 1227210 1433898 1513559 1840815 2389830 3027118 3584745 3681630 4540677 7169490 7567795 9081354 13622031 15135590 22703385 27244062 45406770 68110155 136220310