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136280000 = 26543407
BaseRepresentation
bin10000001111101…
…11011111000000
3100111102202000102
420013313133000
5234341430000
621304541532
73243234533
oct1007673700
9314382012
10136280000
116aa211aa
12397818a8
132230706c
1414156a1a
15be6e3d5
hex81f77c0

136280000 has 70 divisors (see below), whose sum is σ = 338029296. Its totient is φ = 54496000.

The previous prime is 136279987. The next prime is 136280003. The reversal of 136280000 is 82631.

136280000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136280003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38297 + ... + 41703.

Almost surely, 2136280000 is an apocalyptic number.

136280000 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 136280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169014648).

136280000 is an abundant number, since it is smaller than the sum of its proper divisors (201749296).

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

136280000 is an frugal number, since it uses more digits than its factorization.

136280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 136280000 is about 11673.9025180100. The cubic root of 136280000 is about 514.6089972102.

The spelling of 136280000 in words is "one hundred thirty-six million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3407 4000 5000 6814 8000 10000 13628 17035 20000 27256 34070 40000 54512 68140 85175 109024 136280 170350 218048 272560 340700 425875 545120 681400 851750 1090240 1362800 1703500 2129375 2725600 3407000 4258750 5451200 6814000 8517500 13628000 17035000 27256000 34070000 68140000 136280000