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66115500 = 22353114007
BaseRepresentation
bin1111110000110…
…1011110101100
311121102000102020
43330031132230
5113411144000
610321030140
71431654363
oct374153654
9147360366
1066115500
1134358610
121a185350
131090b6c9
148ad07da
155c0eba0
hex3f0d7ac

66115500 has 96 divisors (see below), whose sum is σ = 210083328. Its totient is φ = 16024000.

The previous prime is 66115487. The next prime is 66115507. The reversal of 66115500 is 551166.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66115507) 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, 14497 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (2188368).

Almost surely, 266115500 is an apocalyptic number.

66115500 is a gapful number since it is divisible by the number (60) 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 66115500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105041664).

66115500 is an abundant number, since it is smaller than the sum of its proper divisors (143967828).

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

66115500 is a wasteful number, since it uses less digits than its factorization.

66115500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 66115500 is about 8131.1438309748. The cubic root of 66115500 is about 404.3596036825.

Adding to 66115500 its reverse (551166), we get a palindrome (66666666).

It can be divided in two parts, 661 and 15500, that added together give a palindrome (16161).

The spelling of 66115500 in words is "sixty-six million, one hundred fifteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4007 4125 5500 8014 8250 12021 16028 16500 20035 24042 40070 44077 48084 60105 80140 88154 100175 120210 132231 176308 200350 220385 240420 264462 300525 400700 440770 500875 528924 601050 661155 881540 1001750 1101925 1202100 1322310 1502625 2003500 2203850 2644620 3005250 3305775 4407700 5509625 6010500 6611550 11019250 13223100 16528875 22038500 33057750 66115500