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133001660 = 225112232711
BaseRepresentation
bin1111110110101…
…11000110111100
3100021021011222102
413323113012330
5233022023120
621110404232
73203331641
oct773270674
9307234872
10133001660
1169092130
1238660678
1321729b0c
1413941dc8
15ba22d75
hex7ed71bc

133001660 has 48 divisors (see below), whose sum is σ = 306173952. Its totient is φ = 48129600.

The previous prime is 133001657. The next prime is 133001669. The reversal of 133001660 is 66100331.

133001660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47705 + ... + 50415.

It is an arithmetic number, because the mean of its divisors is an integer number (6378624).

Almost surely, 2133001660 is an apocalyptic number.

133001660 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 133001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086976).

133001660 is an abundant number, since it is smaller than the sum of its proper divisors (173172292).

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

133001660 is a wasteful number, since it uses less digits than its factorization.

133001660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 133001660 is about 11532.6345645737. The cubic root of 133001660 is about 510.4489958550.

Adding to 133001660 its reverse (66100331), we get a palindrome (199101991).

The spelling of 133001660 in words is "one hundred thirty-three million, one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2453 2711 4460 4906 5422 9812 10844 12265 13555 24530 27110 29821 49060 54220 59642 119284 149105 298210 596420 604553 1209106 2418212 3022765 6045530 6650083 12091060 13300166 26600332 33250415 66500830 133001660