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135638730 = 23251507097
BaseRepresentation
bin10000001010110…
…10111011001010
3100110020011100200
420011122323022
5234210414410
621243113030
73234624123
oct1005327312
9313204320
10135638730
116a623427
1239512776
1322141206
141402b04a
15bd943c0
hex815aeca

135638730 has 24 divisors (see below), whose sum is σ = 352660932. Its totient is φ = 36170304.

The previous prime is 135638729. The next prime is 135638731. The reversal of 135638730 is 37836531.

135638730 is a `hidden beast` number, since 13 + 5 + 638 + 7 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135638729) and next prime (135638731).

It can be written as a sum of positive squares in 2 ways, for example, as 112338801 + 23299929 = 10599^2 + 4827^2 .

It is not an unprimeable number, because it can be changed into a prime (135638731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753459 + ... + 753638.

Almost surely, 2135638730 is an apocalyptic number.

135638730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135638730 is an abundant number, since it is smaller than the sum of its proper divisors (217022202).

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

135638730 is a wasteful number, since it uses less digits than its factorization.

135638730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507110 (or 1507107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135638730 is about 11646.4041660935. The cubic root of 135638730 is about 513.8005580095.

The spelling of 135638730 in words is "one hundred thirty-five million, six hundred thirty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1507097 3014194 4521291 7535485 9042582 13563873 15070970 22606455 27127746 45212910 67819365 135638730