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135636400 = 2452339091
BaseRepresentation
bin10000001010110…
…10010110110000
3100110020001011101
420011122112300
5234210331100
621243054144
73234614254
oct1005322660
9313201141
10135636400
116a6216a9
1239511354
1322140133
141402a264
15bd9386a
hex815a5b0

135636400 has 30 divisors (see below), whose sum is σ = 325867412. Its totient is φ = 54254400.

The previous prime is 135636379. The next prime is 135636419. The reversal of 135636400 is 4636531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169146 + ... + 169945.

Almost surely, 2135636400 is an apocalyptic number.

135636400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135636400 is an abundant number, since it is smaller than the sum of its proper divisors (190231012).

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

135636400 is a wasteful number, since it uses less digits than its factorization.

135636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339109 (or 339098 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 135636400 is about 11646.3041347889. The cubic root of 135636400 is about 513.7976159733.

The spelling of 135636400 in words is "one hundred thirty-five million, six hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 339091 678182 1356364 1695455 2712728 3390910 5425456 6781820 8477275 13563640 16954550 27127280 33909100 67818200 135636400