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133806726 = 23231376481
BaseRepresentation
bin1111111100110…
…11101010000110
3100022210002022200
413332123222012
5233223303401
621135535330
73213224034
oct776335206
9308702280
10133806726
1169591a79
123898a546
132194c3a1
1413ab1554
15bb31686
hex7f9ba86

133806726 has 48 divisors (see below), whose sum is σ = 307402368. Its totient is φ = 41990400.

The previous prime is 133806679. The next prime is 133806727. The reversal of 133806726 is 627608331.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133806727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17406 + ... + 23886.

It is an arithmetic number, because the mean of its divisors is an integer number (6404216).

Almost surely, 2133806726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133806726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153701184).

133806726 is an abundant number, since it is smaller than the sum of its proper divisors (173595642).

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

133806726 is a wasteful number, since it uses less digits than its factorization.

133806726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133806726 is about 11567.4857250830. The cubic root of 133806726 is about 511.4768495698.

The spelling of 133806726 in words is "one hundred thirty-three million, eight hundred six thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6481 6882 10323 12962 19443 20646 38886 58329 116658 200911 239797 401822 479594 602733 719391 1205466 1438782 1808199 2158173 3616398 4316346 7433707 14867414 22301121 44602242 66903363 133806726