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19620648 = 2332733733
BaseRepresentation
bin100101011011…
…0001100101000
31100220211110200
41022312030220
520010330043
61540312200
7325526025
oct112661450
940824420
1019620648
1110091313
1266a2660
1340ac868
14286a54c
151ac87d3
hex12b6328

19620648 has 48 divisors (see below), whose sum is σ = 53881620. Its totient is φ = 6448896.

The previous prime is 19620647. The next prime is 19620649. The reversal of 19620648 is 84602691.

19620648 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 0 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (19620647) and next prime (19620649).

It can be written as a sum of positive squares in 2 ways, for example, as 19554084 + 66564 = 4422^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19620641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3390 + ... + 7122.

Almost surely, 219620648 is an apocalyptic number.

19620648 is a gapful number since it is divisible by the number (18) 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 19620648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26940810).

19620648 is an abundant number, since it is smaller than the sum of its proper divisors (34260972).

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

19620648 is a wasteful number, since it uses less digits than its factorization.

19620648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 19620648 is about 4429.5200642959. The cubic root of 19620648 is about 269.7145955378.

The spelling of 19620648 in words is "nineteen million, six hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 3733 5256 7466 11199 14932 22398 29864 33597 44796 67194 89592 134388 268776 272509 545018 817527 1090036 1635054 2180072 2452581 3270108 4905162 6540216 9810324 19620648