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132721344 = 2632732917
BaseRepresentation
bin1111110100100…
…10101011000000
3100020201221110100
413322102223000
5232434040334
621100402400
73201053460
oct772225300
9306657410
10132721344
1168a10568
1238546400
132165c352
14138abba0
15b9b9c99
hex7e92ac0

132721344 has 84 divisors (see below), whose sum is σ = 434780944. Its totient is φ = 37919232.

The previous prime is 132721333. The next prime is 132721357. The reversal of 132721344 is 443127231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1327213442 = 35229910306332672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12427 + ... + 20490.

Almost surely, 2132721344 is an apocalyptic number.

132721344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132721344 is an abundant number, since it is smaller than the sum of its proper divisors (302059600).

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

132721344 is a wasteful number, since it uses less digits than its factorization.

132721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32942 (or 32929 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 132721344 is about 11520.4749902077. The cubic root of 132721344 is about 510.0901340117.

Adding to 132721344 its reverse (443127231), we get a palindrome (575848575).

The spelling of 132721344 in words is "one hundred thirty-two million, seven hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32917 65834 98751 131668 197502 230419 263336 296253 395004 460838 526672 592506 691257 790008 921676 1053344 1185012 1382514 1580016 1843352 2073771 2106688 2370024 2765028 3160032 3686704 4147542 4740048 5530056 6320064 7373408 8295084 9480096 11060112 14746816 16590168 18960192 22120224 33180336 44240448 66360672 132721344