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136103380 = 22572294789
BaseRepresentation
bin10000001110011…
…00010111010100
3100111002202201221
420013030113110
5234320302010
621301100124
73241600600
oct1007142724
9314082657
10136103380
116a910536
12396b7644
132227485a
141410c500
15be36dda
hex81cc5d4

136103380 has 72 divisors (see below), whose sum is σ = 344017800. Its totient is φ = 45045504.

The previous prime is 136103329. The next prime is 136103381. The reversal of 136103380 is 83301631.

It is a happy number.

136103380 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 135349956 = 868^2 + 11634^2 .

136103380 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136103381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26026 + ... + 30814.

It is an arithmetic number, because the mean of its divisors is an integer number (4778025).

Almost surely, 2136103380 is an apocalyptic number.

136103380 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 136103380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172008900).

136103380 is an abundant number, since it is smaller than the sum of its proper divisors (207914420).

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

136103380 is a wasteful number, since it uses less digits than its factorization.

136103380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 136103380 is about 11666.3353286283. The cubic root of 136103380 is about 514.3865886049.

The spelling of 136103380 in words is "one hundred thirty-six million, one hundred three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 4789 5684 7105 9578 14210 19156 23945 28420 33523 47890 67046 95780 134092 138881 167615 234661 277762 335230 469322 555524 670460 694405 938644 972167 1173305 1388810 1944334 2346610 2777620 3888668 4693220 4860835 6805169 9721670 13610338 19443340 27220676 34025845 68051690 136103380