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132415500 = 22353712611
BaseRepresentation
bin1111110010010…
…00000000001100
3100020011101220210
413321020000030
5232344244000
621050042420
73165341010
oct771100014
9306141823
10132415500
11688217a8
1238419410
1321583089
141382c540
15b959350
hex7e4800c

132415500 has 96 divisors (see below), whose sum is σ = 440713728. Its totient is φ = 30264000.

The previous prime is 132415483. The next prime is 132415501. The reversal of 132415500 is 5514231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (132415501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (4590768).

Almost surely, 2132415500 is an apocalyptic number.

132415500 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 132415500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220356864).

132415500 is an abundant number, since it is smaller than the sum of its proper divisors (308298228).

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

132415500 is a wasteful number, since it uses less digits than its factorization.

132415500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12640 (or 12628 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 132415500 is about 11507.1934023897. The cubic root of 132415500 is about 509.6980142235.

Adding to 132415500 its reverse (5514231), we get a palindrome (137929731).

The spelling of 132415500 in words is "one hundred thirty-two million, four hundred fifteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 12611 25222 37833 50444 63055 75666 88277 126110 151332 176554 189165 252220 264831 315275 353108 378330 441385 529662 630550 756660 882770 945825 1059324 1261100 1324155 1576375 1765540 1891650 2206925 2648310 3152750 3783300 4413850 4729125 5296620 6305500 6620775 8827700 9458250 11034625 13241550 18916500 22069250 26483100 33103875 44138500 66207750 132415500