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20207616 = 2113111323
BaseRepresentation
bin100110100010…
…1100000000000
31102000122122020
41031011200000
520133120431
62001041440
7333522222
oct115054000
942018566
1020207616
1110452310
126926280
134256a90
142980412
151b92696
hex1345800

20207616 has 192 divisors, whose sum is σ = 66044160. Its totient is φ = 5406720.

The previous prime is 20207597. The next prime is 20207617. The reversal of 20207616 is 61670202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20207617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878581 + ... + 878603.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 220207616 is an apocalyptic number.

20207616 is a gapful number since it is divisible by the number (26) 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 20207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20207616 is an abundant number, since it is smaller than the sum of its proper divisors (45836544).

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

20207616 is a wasteful number, since it uses less digits than its factorization.

20207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20207616 is about 4495.2881998822. The cubic root of 20207616 is about 272.3777910611.

Adding to 20207616 its reverse (61670202), we get a palindrome (81877818).

The spelling of 20207616 in words is "twenty million, two hundred seven thousand, six hundred sixteen".