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136730000 = 2454112113
BaseRepresentation
bin10000010011001…
…01010110010000
3100112021121022002
420021211112100
5240000330000
621322333132
73250120511
oct1011452620
9315247262
10136730000
11701a9300
123995a1a8
1322433b34
1414232a08
15c00c8d5
hex8265590

136730000 has 150 divisors (see below), whose sum is σ = 367087182. Its totient is φ = 49280000.

The previous prime is 136729969. The next prime is 136730021. The reversal of 136730000 is 37631.

136730000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 97140736 + 39589264 = 9856^2 + 6292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209944 + ... + 1210056.

Almost surely, 2136730000 is an apocalyptic number.

136730000 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 136730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183543591).

136730000 is an abundant number, since it is smaller than the sum of its proper divisors (230357182).

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

136730000 is a wasteful number, since it uses less digits than its factorization.

136730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 136730000 is about 11693.1603940081. The cubic root of 136730000 is about 515.1747922095.

Adding to 136730000 its reverse (37631), we get a palindrome (136767631).

The spelling of 136730000 in words is "one hundred thirty-six million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 121 125 176 200 220 226 242 250 275 400 440 452 484 500 550 565 605 625 880 904 968 1000 1100 1130 1210 1243 1250 1375 1808 1936 2000 2200 2260 2420 2486 2500 2750 2825 3025 4400 4520 4840 4972 5000 5500 5650 6050 6215 6875 9040 9680 9944 10000 11000 11300 12100 12430 13673 13750 14125 15125 19888 22000 22600 24200 24860 27346 27500 28250 30250 31075 45200 48400 49720 54692 55000 56500 60500 62150 68365 70625 75625 99440 109384 110000 113000 121000 124300 136730 141250 151250 155375 218768 226000 242000 248600 273460 282500 302500 310750 341825 497200 546920 565000 605000 621500 683650 776875 1093840 1130000 1210000 1243000 1367300 1553750 1709125 2486000 2734600 3107500 3418250 5469200 6215000 6836500 8545625 12430000 13673000 17091250 27346000 34182500 68365000 136730000