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133206640 = 2457793011
BaseRepresentation
bin1111111000010…
…01001001110000
3100021122121011021
413330021021300
5233100103030
621115025224
73205144360
oct774111160
9307577137
10133206640
1169212136
123873b214
132179c1c8
14139969a0
15ba6397a
hex7f09270

133206640 has 80 divisors (see below), whose sum is σ = 358548480. Its totient is φ = 45077760.

The previous prime is 133206637. The next prime is 133206673. The reversal of 133206640 is 46602331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42735 + ... + 45745.

It is an arithmetic number, because the mean of its divisors is an integer number (4481856).

Almost surely, 2133206640 is an apocalyptic number.

133206640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179274240).

133206640 is an abundant number, since it is smaller than the sum of its proper divisors (225341840).

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

133206640 is a wasteful number, since it uses less digits than its factorization.

133206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 133206640 is about 11541.5180977201. The cubic root of 133206640 is about 510.7110931573.

Adding to 133206640 its reverse (46602331), we get a palindrome (179808971).

The spelling of 133206640 in words is "one hundred thirty-three million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3011 3160 4424 5530 6022 6320 8848 11060 12044 15055 21077 22120 24088 30110 42154 44240 48176 60220 84308 105385 120440 168616 210770 237869 240880 337232 421540 475738 843080 951476 1189345 1665083 1686160 1902952 2378690 3330166 3805904 4757380 6660332 8325415 9514760 13320664 16650830 19029520 26641328 33301660 66603320 133206640