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69660 = 2234543
BaseRepresentation
bin10001000000011100
310112120000
4101000130
54212120
61254300
7410043
oct210034
9115500
1069660
1148378
1234390
1325926
141b55a
1515990
hex1101c

69660 has 60 divisors (see below), whose sum is σ = 223608. Its totient is φ = 18144.

The previous prime is 69653. The next prime is 69661. The reversal of 69660 is 6696.

69660 = T113 + T114 + ... + T122.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69661) by changing a digit.

69660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1599 + ... + 1641.

269660 is an apocalyptic number.

69660 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 69660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111804).

69660 is an abundant number, since it is smaller than the sum of its proper divisors (153948).

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

69660 is a wasteful number, since it uses less digits than its factorization.

69660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 69660 is about 263.9318093751. The cubic root of 69660 is about 41.1460191022.

It can be divided in two parts, 69 and 660, that added together give a 6-th power (729 = 36).

The spelling of 69660 in words is "sixty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 774 810 860 1161 1290 1548 1620 1935 2322 2580 3483 3870 4644 5805 6966 7740 11610 13932 17415 23220 34830 69660