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133171660 = 22531347619
BaseRepresentation
bin1111111000000…
…00100111001100
3100021120211011201
413330000213030
5233042443120
621114155244
73204640366
oct774004714
9307524151
10133171660
1169198926
1238722b24
13217892cb
1413987d36
15ba5840a
hex7f009cc

133171660 has 48 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 51318720.

The previous prime is 133171657. The next prime is 133171663. The reversal of 133171660 is 66171331.

It is an interprime number because it is at equal distance from previous prime (133171657) and next prime (133171663).

It is not an unprimeable number, because it can be changed into a prime (133171663) by changing a digit.

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, 214831 + ... + 215449.

It is an arithmetic number, because the mean of its divisors is an integer number (6041280).

Almost surely, 2133171660 is an apocalyptic number.

133171660 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 133171660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

133171660 is an abundant number, since it is smaller than the sum of its proper divisors (156809780).

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

133171660 is a wasteful number, since it uses less digits than its factorization.

133171660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 133171660 is about 11540.0025996531. The cubic root of 133171660 is about 510.6663850806. Note that the first 3 decimals are identical.

The spelling of 133171660 in words is "one hundred thirty-three million, one hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 347 619 620 694 1238 1388 1735 2476 3095 3470 6190 6940 10757 12380 19189 21514 38378 43028 53785 76756 95945 107570 191890 214793 215140 383780 429586 859172 1073965 2147930 4295860 6658583 13317166 26634332 33292915 66585830 133171660