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136002000 = 24353191193
BaseRepresentation
bin10000001101100…
…11100111010000
3100110220121200010
420012303213100
5234304031000
621254554520
73240666201
oct1006634720
9313817603
10136002000
116a851352
1239668a40
132223a674
14140c35a8
15be16d50
hex81b39d0

136002000 has 160 divisors (see below), whose sum is σ = 461934720. Its totient is φ = 34329600.

The previous prime is 136001977. The next prime is 136002007. The reversal of 136002000 is 200631.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136002007) 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, 113404 + ... + 114596.

It is an arithmetic number, because the mean of its divisors is an integer number (2887092).

Almost surely, 2136002000 is an apocalyptic number.

136002000 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 136002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230967360).

136002000 is an abundant number, since it is smaller than the sum of its proper divisors (325932720).

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

136002000 is a wasteful number, since it uses less digits than its factorization.

136002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 136002000 is about 11661.9895386679. The cubic root of 136002000 is about 514.2588389836.

Adding to 136002000 its reverse (200631), we get a palindrome (136202631).

The spelling of 136002000 in words is "one hundred thirty-six million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1193 1200 1425 1500 1520 1900 2000 2280 2375 2386 2850 3000 3579 3800 4560 4750 4772 5700 5965 6000 7125 7158 7600 9500 9544 11400 11930 14250 14316 17895 19000 19088 22667 22800 23860 28500 28632 29825 35790 38000 45334 47720 57000 57264 59650 68001 71580 89475 90668 95440 113335 114000 119300 136002 143160 149125 178950 181336 226670 238600 272004 286320 298250 340005 357900 362672 447375 453340 477200 544008 566675 596500 680010 715800 894750 906680 1088016 1133350 1193000 1360020 1431600 1700025 1789500 1813360 2266700 2386000 2720040 2833375 3400050 3579000 4533400 5440080 5666750 6800100 7158000 8500125 9066800 11333500 13600200 17000250 22667000 27200400 34000500 45334000 68001000 136002000