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132022032 = 243193401
BaseRepresentation
bin1111101111001…
…11111100010000
3100012102102011220
413313213330100
5232244201112
621033405040
73162111612
oct767477420
9305372156
10132022032
116858311a
1238269780
1321475c5c
1413768db2
15b8cc98c
hex7de7f10

132022032 has 80 divisors (see below), whose sum is σ = 360899520. Its totient is φ = 41587200.

The previous prime is 132022003. The next prime is 132022039. The reversal of 132022032 is 230220231.

It is not an unprimeable number, because it can be changed into a prime (132022039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 329032 + ... + 329432.

It is an arithmetic number, because the mean of its divisors is an integer number (4511244).

Almost surely, 2132022032 is an apocalyptic number.

132022032 is a gapful number since it is divisible by the number (12) 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 132022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180449760).

132022032 is an abundant number, since it is smaller than the sum of its proper divisors (228877488).

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

132022032 is an equidigital number, since it uses as much as digits as its factorization.

132022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132022032 is about 11490.0840727995. The cubic root of 132022032 is about 509.1926634422.

Adding to 132022032 its reverse (230220231), we get a palindrome (362242263).

The spelling of 132022032 in words is "one hundred thirty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 401 456 722 802 912 1083 1203 1444 1604 2166 2406 2888 3208 4332 4812 5776 6416 6859 7619 8664 9624 13718 15238 17328 19248 20577 22857 27436 30476 41154 45714 54872 60952 82308 91428 109744 121904 144761 164616 182856 289522 329232 365712 434283 579044 868566 1158088 1737132 2316176 2750459 3474264 5500918 6948528 8251377 11001836 16502754 22003672 33005508 44007344 66011016 132022032