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133488540 = 22335247201
BaseRepresentation
bin1111111010011…
…01111110011100
3100022011220212000
413331031332130
5233133113130
621125042300
73210430263
oct775157634
9308156760
10133488540
1169394a09
1238856390
132186a603
1413a2b5da
15babc260
hex7f4df9c

133488540 has 48 divisors (see below), whose sum is σ = 415299360. Its totient is φ = 35596800.

The previous prime is 133488533. The next prime is 133488541. The reversal of 133488540 is 45884331.

133488540 is a `hidden beast` number, since 1 + 3 + 34 + 88 + 540 = 666.

It is a super-2 number, since 2×1334885402 = 35638380622663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133488495 and 133488504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133488541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123061 + ... + 124140.

It is an arithmetic number, because the mean of its divisors is an integer number (8652070).

Almost surely, 2133488540 is an apocalyptic number.

133488540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133488540 is an abundant number, since it is smaller than the sum of its proper divisors (281810820).

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

133488540 is a wasteful number, since it uses less digits than its factorization.

133488540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247219 (or 247211 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 133488540 is about 11553.7240749466. The cubic root of 133488540 is about 511.0711052843.

The spelling of 133488540 in words is "one hundred thirty-three million, four hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 247201 494402 741603 988804 1236005 1483206 2224809 2472010 2966412 3708015 4449618 4944020 6674427 7416030 8899236 11124045 13348854 14832060 22248090 26697708 33372135 44496180 66744270 133488540