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132031020 = 223511251797
BaseRepresentation
bin1111101111010…
…10001000101100
3100012102212111210
413313222020230
5232244443040
621033514420
73162150042
oct767521054
9305385453
10132031020
1168589950
1238272a10
132147a084
141376c392
15b8d0480
hex7dea22c

132031020 has 96 divisors (see below), whose sum is σ = 405409536. Its totient is φ = 31840000.

The previous prime is 132031013. The next prime is 132031021. The reversal of 132031020 is 20130231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132030987 and 132031005.

It is not an unprimeable number, because it can be changed into a prime (132031021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165262 + ... + 166058.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2132031020 is an apocalyptic number.

132031020 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 132031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202704768).

132031020 is an abundant number, since it is smaller than the sum of its proper divisors (273378516).

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

132031020 is a wasteful number, since it uses less digits than its factorization.

132031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132031020 is about 11490.4751859964. The cubic root of 132031020 is about 509.2042183818.

Adding to 132031020 its reverse (20130231), we get a palindrome (152161251).

The spelling of 132031020 in words is "one hundred thirty-two million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 251 330 502 660 753 797 1004 1255 1506 1594 2391 2510 2761 3012 3188 3765 3985 4782 5020 5522 7530 7970 8283 8767 9564 11044 11955 13805 15060 15940 16566 17534 23910 26301 27610 33132 35068 41415 43835 47820 52602 55220 82830 87670 105204 131505 165660 175340 200047 263010 400094 526020 600141 800188 1000235 1200282 2000470 2200517 2400564 3000705 4000940 4401034 6001410 6601551 8802068 11002585 12002820 13203102 22005170 26406204 33007755 44010340 66015510 132031020