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132117720 = 23357222469
BaseRepresentation
bin1111101111111…
…11010011011000
3100012121021102220
413313333103120
5232310231340
621035424040
73162660600
oct767772330
9305537386
10132117720
1168638aa9
12382b5020
13214aa687
1413791c00
15b8eaed0
hex7dff4d8

132117720 has 96 divisors (see below), whose sum is σ = 461084400. Its totient is φ = 30196992.

The previous prime is 132117709. The next prime is 132117737. The reversal of 132117720 is 27711231.

132117720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5355 + ... + 17114.

Almost surely, 2132117720 is an apocalyptic number.

132117720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132117720 is an abundant number, since it is smaller than the sum of its proper divisors (328966680).

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

132117720 is a wasteful number, since it uses less digits than its factorization.

132117720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22497 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 132117720 is about 11494.2472567802. The cubic root of 132117720 is about 509.3156526639.

Adding to 132117720 its reverse (27711231), we get a palindrome (159828951).

The spelling of 132117720 in words is "one hundred thirty-two million, one hundred seventeen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 22469 44938 67407 89876 112345 134814 157283 179752 224690 269628 314566 337035 449380 471849 539256 629132 674070 786415 898760 943698 1100981 1258264 1348140 1572830 1887396 2201962 2359245 2696280 3145660 3302943 3774792 4403924 4718490 5504905 6291320 6605886 8807848 9436980 11009810 13211772 16514715 18873960 22019620 26423544 33029430 44039240 66058860 132117720