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20616128 = 261371349
BaseRepresentation
bin100111010100…
…1001111000000
31102210102000022
41032221033000
520234204003
62013513012
7340143221
oct116511700
942712008
1020616128
1110701225
126aa2768
13436a9c0
142a49248
151c23738
hex13a93c0

20616128 has 56 divisors (see below), whose sum is σ = 44805600. Its totient is φ = 9354240.

The previous prime is 20616107. The next prime is 20616133. The reversal of 20616128 is 82161602.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 20616097 and 20616106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58898 + ... + 59246.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 220616128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402800).

20616128 is an abundant number, since it is smaller than the sum of its proper divisors (24189472).

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

20616128 is a wasteful number, since it uses less digits than its factorization.

20616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 20616128 is about 4540.4986510294. The cubic root of 20616128 is about 274.2009997972.

The spelling of 20616128 in words is "twenty million, six hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 208 284 349 416 568 698 832 923 1136 1396 1846 2272 2792 3692 4537 4544 5584 7384 9074 11168 14768 18148 22336 24779 29536 36296 49558 59072 72592 99116 145184 198232 290368 322127 396464 644254 792928 1288508 1585856 2577016 5154032 10308064 20616128