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132030600 = 233521316927
BaseRepresentation
bin1111101111010…
…10000010001000
3100012102211221020
413313222002020
5232244434400
621033512440
73162145602
oct767520210
9305384836
10132030600
11685895a9
1238272720
1321479b20
141376c172
15b8d02a0
hex7dea088

132030600 has 96 divisors (see below), whose sum is σ = 440805120. Its totient is φ = 32497920.

The previous prime is 132030593. The next prime is 132030611. The reversal of 132030600 is 6030231.

132030600 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132030600.

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 23 ways as a sum of consecutive naturals, for example, 664 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (4591720).

Almost surely, 2132030600 is an apocalyptic number.

132030600 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 132030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220402560).

132030600 is an abundant number, since it is smaller than the sum of its proper divisors (308774520).

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

132030600 is a wasteful number, since it uses less digits than its factorization.

132030600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16959 (or 16950 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132030600 is about 11490.4569099753. The cubic root of 132030600 is about 509.2036784430.

Adding to 132030600 its reverse (6030231), we get a palindrome (138060831).

The spelling of 132030600 in words is "one hundred thirty-two million, thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 16927 33854 50781 67708 84635 101562 135416 169270 203124 220051 253905 338540 406248 423175 440102 507810 660153 677080 846350 880204 1015620 1100255 1269525 1320306 1692700 1760408 2031240 2200510 2539050 2640612 3300765 3385400 4401020 5078100 5281224 5501275 6601530 8802040 10156200 11002550 13203060 16503825 22005100 26406120 33007650 44010200 66015300 132030600