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133356828 = 223113173187
BaseRepresentation
bin1111111001011…
…01110100011100
3100021221020011210
413330231310130
5233114404303
621122144420
73206341263
oct774556434
9307836153
10133356828
1169304a60
12387b2110
1321822687
14139d55da
15ba93203
hex7f2dd1c

133356828 has 48 divisors (see below), whose sum is σ = 340631424. Its totient is φ = 40271040.

The previous prime is 133356787. The next prime is 133356833. The reversal of 133356828 is 828653331.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40251 + ... + 43437.

It is an arithmetic number, because the mean of its divisors is an integer number (7096488).

Almost surely, 2133356828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133356828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170315712).

133356828 is an abundant number, since it is smaller than the sum of its proper divisors (207274596).

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

133356828 is a wasteful number, since it uses less digits than its factorization.

133356828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3520 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 133356828 is about 11548.0226878890. The cubic root of 133356828 is about 510.9029601412.

The spelling of 133356828 in words is "one hundred thirty-three million, three hundred fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1268 1902 3187 3487 3804 6374 6974 9561 10461 12748 13948 19122 20922 35057 38244 41844 70114 105171 140228 210342 420684 1010279 2020558 3030837 4041116 6061674 11113069 12123348 22226138 33339207 44452276 66678414 133356828