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20056608 = 25321113487
BaseRepresentation
bin100110010000…
…0101000100000
31101201222111100
41030200220200
520113302413
61553514400
7332323035
oct114405040
941658440
1020056608
1110359910
126872a00
134203120
14294138c
151b62a73
hex1320a20

20056608 has 144 divisors (see below), whose sum is σ = 67144896. Its totient is φ = 5598720.

The previous prime is 20056607. The next prime is 20056669. The reversal of 20056608 is 80665002.

20056608 is a `hidden beast` number, since 2 + 0 + 0 + 56 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20056607) 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 23 ways as a sum of consecutive naturals, for example, 40941 + ... + 41427.

It is an arithmetic number, because the mean of its divisors is an integer number (466284).

Almost surely, 220056608 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 20056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572448).

20056608 is an abundant number, since it is smaller than the sum of its proper divisors (47088288).

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

20056608 is a wasteful number, since it uses less digits than its factorization.

20056608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20056608 is about 4478.4604497528. The cubic root of 20056608 is about 271.6976166745.

The spelling of 20056608 in words is "twenty million, fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 487 528 572 624 792 858 936 974 1056 1144 1248 1287 1461 1584 1716 1872 1948 2288 2574 2922 3168 3432 3744 3896 4383 4576 5148 5357 5844 6331 6864 7792 8766 10296 10714 11688 12662 13728 15584 16071 17532 18993 20592 21428 23376 25324 32142 35064 37986 41184 42856 46752 48213 50648 56979 64284 69641 70128 75972 85712 96426 101296 113958 128568 139282 140256 151944 171424 192852 202592 208923 227916 257136 278564 303888 385704 417846 455832 514272 557128 607776 626769 771408 835692 911664 1114256 1253538 1542816 1671384 1823328 2228512 2507076 3342768 5014152 6685536 10028304 20056608