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132312240 = 243251511217
BaseRepresentation
bin1111110001011…
…10110010110000
3100012222011021100
413320232302300
5232332442430
621043524400
73164430654
oct770566260
9305864240
10132312240
1168761165
1238389700
1321548088
1413802a64
15b938960
hex7e2ecb0

132312240 has 120 divisors (see below), whose sum is σ = 447658848. Its totient is φ = 35020800.

The previous prime is 132312199. The next prime is 132312251. The reversal of 132312240 is 42213231.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108112 + ... + 109328.

Almost surely, 2132312240 is an apocalyptic number.

132312240 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 132312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223829424).

132312240 is an abundant number, since it is smaller than the sum of its proper divisors (315346608).

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

132312240 is a wasteful number, since it uses less digits than its factorization.

132312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132312240 is about 11502.7057686442. The cubic root of 132312240 is about 509.5654891947.

Adding to 132312240 its reverse (42213231), we get a palindrome (174525471).

Subtracting from 132312240 its reverse (42213231), we obtain a palindrome (90099009).

The spelling of 132312240 in words is "one hundred thirty-two million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1208 1217 1359 1510 1812 2265 2416 2434 2718 3020 3624 3651 4530 4868 5436 6040 6085 6795 7248 7302 9060 9736 10872 10953 12080 12170 13590 14604 18120 18255 19472 21744 21906 24340 27180 29208 36240 36510 43812 48680 54360 54765 58416 73020 87624 97360 108720 109530 146040 175248 183767 219060 292080 367534 438120 551301 735068 876240 918835 1102602 1470136 1653903 1837670 2205204 2756505 2940272 3307806 3675340 4410408 5513010 6615612 7350680 8269515 8820816 11026020 13231224 14701360 16539030 22052040 26462448 33078060 44104080 66156120 132312240