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136220760 = 233251322239
BaseRepresentation
bin10000001111010…
…01000001011000
3100111022201202100
420013221001120
5234333031020
621303403400
73242600034
oct1007510130
9314281670
10136220760
116a990745
1239753560
13222b6100
141413d1c4
15be5ba90
hex81e9058

136220760 has 144 divisors (see below), whose sum is σ = 479606400. Its totient is φ = 33516288.

The previous prime is 136220753. The next prime is 136220761. The reversal of 136220760 is 67022631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136220761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59721 + ... + 61959.

It is an arithmetic number, because the mean of its divisors is an integer number (3330600).

Almost surely, 2136220760 is an apocalyptic number.

136220760 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 136220760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239803200).

136220760 is an abundant number, since it is smaller than the sum of its proper divisors (343385640).

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

136220760 is a wasteful number, since it uses less digits than its factorization.

136220760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136220760 is about 11671.3649587355. The cubic root of 136220760 is about 514.5344207125.

It can be divided in two parts, 1362 and 20760, that added together give a palindrome (22122).

The spelling of 136220760 in words is "one hundred thirty-six million, two hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2239 2340 2535 3042 3380 4056 4478 4680 5070 6084 6717 6760 7605 8956 10140 11195 12168 13434 15210 17912 20151 20280 22390 26868 29107 30420 33585 40302 44780 53736 58214 60840 67170 80604 87321 89560 100755 116428 134340 145535 161208 174642 201510 232856 261963 268680 291070 349284 378391 403020 436605 523926 582140 698568 756782 806040 873210 1047852 1135173 1164280 1309815 1513564 1746420 1891955 2095704 2270346 2619630 3027128 3405519 3492840 3783910 4540692 5239260 5675865 6811038 7567820 9081384 10478520 11351730 13622076 15135640 17027595 22703460 27244152 34055190 45406920 68110380 136220760