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133522020 = 2234582421
BaseRepresentation
bin1111111010101…
…10001001100100
3100022020121210000
413331112021210
5233140201040
621125501300
73210630012
oct775261144
9308217700
10133522020
1169408085
1238871830
132187c918
1413a398b2
15bac7130
hex7f56264

133522020 has 60 divisors (see below), whose sum is σ = 418868604. Its totient is φ = 35605440.

The previous prime is 133522019. The next prime is 133522021. The reversal of 133522020 is 20225331.

It is an interprime number because it is at equal distance from previous prime (133522019) and next prime (133522021).

It can be written as a sum of positive squares in 2 ways, for example, as 96943716 + 36578304 = 9846^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133521984 and 133522002.

It is not an unprimeable number, because it can be changed into a prime (133522021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39591 + ... + 42830.

Almost surely, 2133522020 is an apocalyptic number.

133522020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133522020 is an abundant number, since it is smaller than the sum of its proper divisors (285346584).

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

133522020 is a wasteful number, since it uses less digits than its factorization.

133522020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82442 (or 82431 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133522020 is about 11555.1728675948. The cubic root of 133522020 is about 511.1138286280.

Adding to 133522020 its reverse (20225331), we get a palindrome (153747351).

The spelling of 133522020 in words is "one hundred thirty-three million, five hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 82421 164842 247263 329684 412105 494526 741789 824210 989052 1236315 1483578 1648420 2225367 2472630 2967156 3708945 4450734 4945260 6676101 7417890 8901468 11126835 13352202 14835780 22253670 26704404 33380505 44507340 66761010 133522020