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20996052 = 22371131733
BaseRepresentation
bin101000000010…
…1111111010100
31110111201011120
41100011333110
520333333202
62030003540
7343314660
oct120057724
943451146
1020996052
1110940710
1270465b0
1344718cc
142b078a0
151c9b0bc
hex1405fd4

20996052 has 96 divisors (see below), whose sum is σ = 63135744. Its totient is φ = 5270400.

The previous prime is 20996051. The next prime is 20996069. The reversal of 20996052 is 25069902.

It is a super-3 number, since 3×209960523 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20996051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28278 + ... + 29010.

It is an arithmetic number, because the mean of its divisors is an integer number (657664).

Almost surely, 220996052 is an apocalyptic number.

20996052 is a gapful number since it is divisible by the number (22) 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 20996052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31567872).

20996052 is an abundant number, since it is smaller than the sum of its proper divisors (42139692).

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

20996052 is a wasteful number, since it uses less digits than its factorization.

20996052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 20996052 is about 4582.1449125928. The cubic root of 20996052 is about 275.8751272964.

It can be divided in two parts, 209960 and 52, that added together give a palindrome (210012).

The spelling of 20996052 in words is "twenty million, nine hundred ninety-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 733 868 924 1023 1302 1364 1466 2046 2199 2387 2604 2932 4092 4398 4774 5131 7161 8063 8796 9548 10262 14322 15393 16126 20524 22723 24189 28644 30786 32252 45446 48378 56441 61572 68169 90892 96756 112882 136338 159061 169323 225764 249953 272676 318122 338646 477183 499906 636244 677292 749859 954366 999812 1499718 1749671 1908732 2999436 3499342 5249013 6998684 10498026 20996052