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136668220 = 22513577911
BaseRepresentation
bin10000010010101…
…10010000111100
3100112011110112221
420021112100330
5234441340340
621321135124
73246442423
oct1011262074
9315143487
10136668220
1170166947
123992a4a4
1322411990
14142182ba
15bee944a
hex825643c

136668220 has 48 divisors (see below), whose sum is σ = 309955968. Its totient is φ = 50319360.

The previous prime is 136668209. The next prime is 136668221. The reversal of 136668220 is 22866631.

136668220 = T25 + T26 + ... + T935.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136668221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149565 + ... + 150475.

It is an arithmetic number, because the mean of its divisors is an integer number (6457416).

Almost surely, 2136668220 is an apocalyptic number.

136668220 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 136668220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154977984).

136668220 is an abundant number, since it is smaller than the sum of its proper divisors (173287748).

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

136668220 is a wasteful number, since it uses less digits than its factorization.

136668220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 136668220 is about 11690.5183802943. The cubic root of 136668220 is about 515.0971884320.

The spelling of 136668220 in words is "one hundred thirty-six million, six hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 577 911 1154 1822 2308 2885 3644 4555 5770 7501 9110 11540 11843 15002 18220 23686 30004 37505 47372 59215 75010 118430 150020 236860 525647 1051294 2102588 2628235 5256470 6833411 10512940 13666822 27333644 34167055 68334110 136668220