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136620 = 223351123
BaseRepresentation
bin100001010110101100
320221102000
4201112230
513332440
62532300
71106211
oct412654
9227360
10136620
1193710
1267090
134a253
1437b08
152a730
hex215ac

136620 has 96 divisors (see below), whose sum is σ = 483840. Its totient is φ = 31680.

The previous prime is 136607. The next prime is 136621. The reversal of 136620 is 26631.

It is a happy number.

136620 is a `hidden beast` number, since 1 + 3 + 662 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136593 and 136602.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136620.

It is not an unprimeable number, because it can be changed into a prime (136621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5929 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2136620 is an apocalyptic number.

136620 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 136620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

136620 is an abundant number, since it is smaller than the sum of its proper divisors (347220).

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

136620 is a wasteful number, since it uses less digits than its factorization.

136620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

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

The square root of 136620 is about 369.6214279503. The cubic root of 136620 is about 51.5036601540.

The spelling of 136620 in words is "one hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 27 30 33 36 44 45 46 54 55 60 66 69 90 92 99 108 110 115 132 135 138 165 180 198 207 220 230 253 270 276 297 330 345 396 414 460 495 506 540 594 621 660 690 759 828 990 1012 1035 1188 1242 1265 1380 1485 1518 1980 2070 2277 2484 2530 2970 3036 3105 3795 4140 4554 5060 5940 6210 6831 7590 9108 11385 12420 13662 15180 22770 27324 34155 45540 68310 136620