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132831720 = 23325752711
BaseRepresentation
bin1111110101011…
…01100111101000
3100020221112212100
413322231213220
5233001103340
621103013400
73202023330
oct772554750
9306845770
10132831720
1168a8648a
123859a260
132169a668
14138da0c0
15b9dc830
hex7ead9e8

132831720 has 96 divisors (see below), whose sum is σ = 493384320. Its totient is φ = 30360960.

The previous prime is 132831701. The next prime is 132831731. The reversal of 132831720 is 27138231.

132831720 is a `hidden beast` number, since 1 + 328 + 317 + 20 = 666.

132831720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23836 + ... + 28875.

It is an arithmetic number, because the mean of its divisors is an integer number (5139420).

Almost surely, 2132831720 is an apocalyptic number.

132831720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132831720 is an abundant number, since it is smaller than the sum of its proper divisors (360552600).

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

132831720 is a wasteful number, since it uses less digits than its factorization.

132831720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52735 (or 52728 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132831720 is about 11525.2644221293. The cubic root of 132831720 is about 510.2314981325.

Adding to 132831720 its reverse (27138231), we get a palindrome (159969951).

The spelling of 132831720 in words is "one hundred thirty-two million, eight hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 52711 105422 158133 210844 263555 316266 368977 421688 474399 527110 632532 737954 790665 948798 1054220 1106931 1265064 1475908 1581330 1844885 1897596 2108440 2213862 2371995 2951816 3162660 3320793 3689770 3795192 4427724 4743990 5534655 6325320 6641586 7379540 8855448 9487980 11069310 13283172 14759080 16603965 18975960 22138620 26566344 33207930 44277240 66415860 132831720