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20108032 = 2873229
BaseRepresentation
bin100110010110…
…1001100000000
31101211121000221
41030231030000
520121424112
61554552424
7332626000
oct114551400
941747027
1020108032
111039450a
126898714
134220659
142956000
151b72e07
hex132d300

20108032 has 72 divisors (see below), whose sum is σ = 47012000. Its totient is φ = 8580096.

The previous prime is 20108029. The next prime is 20108051. The reversal of 20108032 is 23080102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20107997 and 20108015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87694 + ... + 87922.

Almost surely, 220108032 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 20108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506000).

20108032 is an abundant number, since it is smaller than the sum of its proper divisors (26903968).

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

20108032 is an frugal number, since it uses more digits than its factorization.

20108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20108032 is about 4484.1980330935. The cubic root of 20108032 is about 271.9296242382.

Adding to 20108032 its reverse (23080102), we get a palindrome (43188134).

The spelling of 20108032 in words is "twenty million, one hundred eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 229 256 343 392 448 458 686 784 896 916 1372 1568 1603 1792 1832 2744 3136 3206 3664 5488 6272 6412 7328 10976 11221 12544 12824 14656 21952 22442 25648 29312 43904 44884 51296 58624 78547 87808 89768 102592 157094 179536 205184 314188 359072 410368 628376 718144 1256752 1436288 2513504 2872576 5027008 10054016 20108032