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20351320 = 23511232011
BaseRepresentation
bin100110110100…
…0100101011000
31102021221202121
41031220211120
520202220240
62004111024
7334661203
oct115504530
942257677
1020351320
1110540280
126995474
1342a7302
1429ba93a
151bc004a
hex1368958

20351320 has 64 divisors (see below), whose sum is σ = 52151040. Its totient is φ = 7075200.

The previous prime is 20351267. The next prime is 20351323. The reversal of 20351320 is 2315302.

It is a junction number, because it is equal to n+sod(n) for n = 20351294 and 20351303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20351323) 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 15 ways as a sum of consecutive naturals, for example, 9115 + ... + 11125.

It is an arithmetic number, because the mean of its divisors is an integer number (814860).

Almost surely, 220351320 is an apocalyptic number.

20351320 is a gapful number since it is divisible by the number (20) 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 20351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26075520).

20351320 is an abundant number, since it is smaller than the sum of its proper divisors (31799720).

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

20351320 is a wasteful number, since it uses less digits than its factorization.

20351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20351320 is about 4511.2437309460. The cubic root of 20351320 is about 273.0219270629.

Adding to 20351320 its reverse (2315302), we get a palindrome (22666622).

The spelling of 20351320 in words is "twenty million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2011 2024 2530 4022 5060 8044 10055 10120 16088 20110 22121 40220 44242 46253 80440 88484 92506 110605 176968 185012 221210 231265 370024 442420 462530 508783 884840 925060 1017566 1850120 2035132 2543915 4070264 5087830 10175660 20351320