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135601872 = 2437403577
BaseRepresentation
bin10000001010100…
…01111011010000
3100110011021210120
420011101323100
5234203224442
621242230240
73234411510
oct1005217320
9313137716
10135601872
116a5a876a
12394b5380
132212a4c3
141401b840
15bd884ec
hex8151ed0

135601872 has 40 divisors (see below), whose sum is σ = 400349376. Its totient is φ = 38743296.

The previous prime is 135601861. The next prime is 135601891. The reversal of 135601872 is 278106531.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 201453 + ... + 202124.

Almost surely, 2135601872 is an apocalyptic number.

135601872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135601872 is an abundant number, since it is smaller than the sum of its proper divisors (264747504).

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

135601872 is a wasteful number, since it uses less digits than its factorization.

135601872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403595 (or 403589 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 135601872 is about 11644.8216817605. The cubic root of 135601872 is about 513.7540143304.

The spelling of 135601872 in words is "one hundred thirty-five million, six hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 403577 807154 1210731 1614308 2421462 2825039 3228616 4842924 5650078 6457232 8475117 9685848 11300156 16950234 19371696 22600312 33900468 45200624 67800936 135601872