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135293900 = 22527227611
BaseRepresentation
bin10000001000001…
…10101111001100
3100102120122100012
420010012233030
5234113401100
621231452352
73231656600
oct1004065714
9312518305
10135293900
116a408345
12393870b8
1322050281
1413d7b500
15bd27135
hex8106bcc

135293900 has 54 divisors (see below), whose sum is σ = 341532828. Its totient is φ = 46384800.

The previous prime is 135293869. The next prime is 135293911. The reversal of 135293900 is 9392531.

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 17 ways as a sum of consecutive naturals, for example, 8906 + ... + 18705.

It is an arithmetic number, because the mean of its divisors is an integer number (6324682).

Almost surely, 2135293900 is an apocalyptic number.

135293900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135293900 is an abundant number, since it is smaller than the sum of its proper divisors (206238928).

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

135293900 is a wasteful number, since it uses less digits than its factorization.

135293900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27639 (or 27625 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 135293900 is about 11631.5906049001. The cubic root of 135293900 is about 513.3647822790.

The spelling of 135293900 in words is "one hundred thirty-five million, two hundred ninety-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 27611 55222 110444 138055 193277 276110 386554 552220 690275 773108 966385 1352939 1380550 1932770 2705878 2761100 3865540 4831925 5411756 6764695 9663850 13529390 19327700 27058780 33823475 67646950 135293900