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20033132 = 2273761317
BaseRepresentation
bin100110001101…
…0111001101100
31101200210021212
41030122321230
520112030012
61553213552
7332164430
oct114327154
941623255
1020033132
1110343209
1268612b8
1341c5532
1429369c0
151b5ab22
hex131ae6c

20033132 has 48 divisors (see below), whose sum is σ = 41955648. Its totient is φ = 8190720.

The previous prime is 20033093. The next prime is 20033137. The reversal of 20033132 is 23133002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20033137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63038 + ... + 63354.

It is an arithmetic number, because the mean of its divisors is an integer number (874076).

Almost surely, 220033132 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 20033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977824).

20033132 is an abundant number, since it is smaller than the sum of its proper divisors (21922516).

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

20033132 is a wasteful number, since it uses less digits than its factorization.

20033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 20033132 is about 4475.8386923570. The cubic root of 20033132 is about 271.5915691070.

Adding to 20033132 its reverse (23133002), we get a palindrome (43166134).

The spelling of 20033132 in words is "twenty million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 61 74 122 148 244 259 317 427 518 634 854 1036 1268 1708 2219 2257 4438 4514 8876 9028 11729 15799 19337 23458 31598 38674 46916 63196 77348 82103 135359 164206 270718 328412 541436 715469 1430938 2861876 5008283 10016566 20033132