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132533020 = 225172511553
BaseRepresentation
bin1111110011001…
…00101100011100
3100020101101010101
413321210230130
5232412024040
621052350444
73166340434
oct771445434
9306341111
10132533020
11688a2024
1238475424
13215c4709
141385d2c4
15b97e09a
hex7e64b1c

132533020 has 48 divisors (see below), whose sum is σ = 296055648. Its totient is φ = 49664000.

The previous prime is 132533017. The next prime is 132533021. The reversal of 132533020 is 20335231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132533021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84564 + ... + 86116.

It is an arithmetic number, because the mean of its divisors is an integer number (6167826).

Almost surely, 2132533020 is an apocalyptic number.

132533020 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 132533020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148027824).

132533020 is an abundant number, since it is smaller than the sum of its proper divisors (163522628).

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

132533020 is a wasteful number, since it uses less digits than its factorization.

132533020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 132533020 is about 11512.2986410187. The cubic root of 132533020 is about 509.8487568954.

Adding to 132533020 its reverse (20335231), we get a palindrome (152868251).

The spelling of 132533020 in words is "one hundred thirty-two million, five hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 1004 1255 1553 2510 3106 4267 5020 6212 7765 8534 15530 17068 21335 26401 31060 42670 52802 85340 105604 132005 264010 389803 528020 779606 1559212 1949015 3898030 6626651 7796060 13253302 26506604 33133255 66266510 132533020