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133665700 = 22527257743
BaseRepresentation
bin1111111011110…
…01001110100100
3100022111220212111
413331321032210
5233204300300
621132530404
73212065630
oct775711644
9308456774
10133665700
11694a6023
1238920a04
132190013c
1413a75dc0
15bb049ba
hex7f793a4

133665700 has 72 divisors (see below), whose sum is σ = 333228672. Its totient is φ = 45588480.

The previous prime is 133665677. The next prime is 133665733. The reversal of 133665700 is 7566331.

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 23 ways as a sum of consecutive naturals, for example, 179529 + ... + 180271.

It is an arithmetic number, because the mean of its divisors is an integer number (4628176).

Almost surely, 2133665700 is an apocalyptic number.

133665700 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 133665700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166614336).

133665700 is an abundant number, since it is smaller than the sum of its proper divisors (199562972).

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

133665700 is a wasteful number, since it uses less digits than its factorization.

133665700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 133665700 is about 11561.3883249375. The cubic root of 133665700 is about 511.2970955513.

The spelling of 133665700 in words is "one hundred thirty-three million, six hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 257 350 514 700 743 1028 1285 1486 1799 2570 2972 3598 3715 5140 5201 6425 7196 7430 8995 10402 12850 14860 17990 18575 20804 25700 26005 35980 37150 44975 52010 74300 89950 104020 130025 179900 190951 260050 381902 520100 763804 954755 1336657 1909510 2673314 3819020 4773775 5346628 6683285 9547550 13366570 19095100 26733140 33416425 66832850 133665700