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20731128 = 23311194133
BaseRepresentation
bin100111100010…
…1010011111000
31110000020202120
41033011103320
520301344003
62020201240
7341132415
oct117052370
943006676
1020731128
111077a670
126b39220
1343ab152
142a7910c
151c47853
hex13c54f8

20731128 has 64 divisors (see below), whose sum is σ = 59529600. Its totient is φ = 5950080.

The previous prime is 20731127. The next prime is 20731129. The reversal of 20731128 is 82113702.

It is an interprime number because it is at equal distance from previous prime (20731127) and next prime (20731129).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20731098 and 20731107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20731121) 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, 2950 + ... + 7082.

It is an arithmetic number, because the mean of its divisors is an integer number (930150).

Almost surely, 220731128 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 20731128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764800).

20731128 is an abundant number, since it is smaller than the sum of its proper divisors (38798472).

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

20731128 is a wasteful number, since it uses less digits than its factorization.

20731128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 20731128 is about 4553.1448472457. The cubic root of 20731128 is about 274.7099001394.

The spelling of 20731128 in words is "twenty million, seven hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 4133 5016 8266 12399 16532 24798 33064 45463 49596 78527 90926 99192 136389 157054 181852 235581 272778 314108 363704 471162 545556 628216 863797 942324 1091112 1727594 1884648 2591391 3455188 5182782 6910376 10365564 20731128