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20553126 = 2311893499
BaseRepresentation
bin100111001100…
…1110110100110
31102200012120220
41032121312212
520230200001
62012305210
7336461436
oct116316646
942605526
1020553126
1110668960
126a72206
134348119
142a302c6
151c0ec36
hex1399da6

20553126 has 32 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 6156480.

The previous prime is 20553107. The next prime is 20553133. The reversal of 20553126 is 62135502.

It is a junction number, because it is equal to n+sod(n) for n = 20553096 and 20553105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125 + ... + 7623.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 220553126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20553126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20553126 is an abundant number, since it is smaller than the sum of its proper divisors (24806874).

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

20553126 is a wasteful number, since it uses less digits than its factorization.

20553126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 20553126 is about 4533.5555582787. Note that the first 5 decimals coincide. The cubic root of 20553126 is about 273.9213993025.

Adding to 20553126 its reverse (62135502), we get a palindrome (82688628).

The spelling of 20553126 in words is "twenty million, five hundred fifty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 979 1958 2937 3499 5874 6998 10497 20994 38489 76978 115467 230934 311411 622822 934233 1868466 3425521 6851042 10276563 20553126