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135396496 = 2429092
BaseRepresentation
bin10000001000111…
…11110010010000
3100102202212002001
420010133302100
5234130141441
621234003344
73232564654
oct1004376220
9312685061
10135396496
116a478434
1239416554
1322087b91
1413da6a64
15bd47731
hex811fc90

135396496 has 15 divisors (see below), whose sum is σ = 262420921. Its totient is φ = 67674976.

The previous prime is 135396493. The next prime is 135396509. The reversal of 135396496 is 694693531.

The square root of 135396496 is 11636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 17977600 = 10836^2 + 4240^2 .

It is a super-2 number, since 2×1353964962 = 36664422258156032, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135396493) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 45090 + ... + 47998.

Almost surely, 2135396496 is an apocalyptic number.

135396496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135396496 is the 11636-th square number.

It is an amenable number.

135396496 is a deficient number, since it is larger than the sum of its proper divisors (127024425).

135396496 is an frugal number, since it uses more digits than its factorization.

135396496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 2911 counting only the distinct ones).

The product of its digits is 524880, while the sum is 46.

The cubic root of 135396496 is about 513.4945143301.

The spelling of 135396496 in words is "one hundred thirty-five million, three hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 2909 5818 11636 23272 46544 8462281 16924562 33849124 67698248 135396496