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19620 = 22325109
BaseRepresentation
bin100110010100100
3222220200
410302210
51111440
6230500
7111126
oct46244
928820
1019620
1113817
12b430
138c13
147216
155c30
hex4ca4

19620 has 36 divisors (see below), whose sum is σ = 60060. Its totient is φ = 5184.

The previous prime is 19609. The next prime is 19661. The reversal of 19620 is 2691.

19620 = T66 + T67 + ... + T73.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 9216 = 102^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 7.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 19593 and 19602.

It is an unprimeable number.

19620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126 + ... + 234.

219620 is an apocalyptic number.

19620 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 19620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30030).

19620 is an abundant number, since it is smaller than the sum of its proper divisors (40440).

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

19620 is a wasteful number, since it uses less digits than its factorization.

19620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 19620 is about 140.0714103591. The cubic root of 19620 is about 26.9711626268.

It can be divided in two parts, 196 and 20, that added together give a cube (216 = 63).

The spelling of 19620 in words is "nineteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620