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20666112 = 28371379
BaseRepresentation
bin100111011010…
…1011100000000
31102212221120120
41032311130000
520242303422
62014540240
7340442025
oct116653400
942787516
1020666112
1110735835
126b07680
13438768c
142a5d54c
151c3345c
hex13b5700

20666112 has 72 divisors (see below), whose sum is σ = 55923840. Its totient is φ = 6773760.

The previous prime is 20666111. The next prime is 20666143. The reversal of 20666112 is 21166602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20666111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54339 + ... + 54717.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 220666112 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 20666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

20666112 is an abundant number, since it is smaller than the sum of its proper divisors (35257728).

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

20666112 is an equidigital number, since it uses as much as digits as its factorization.

20666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20666112 is about 4545.9995600528. Note that the first 3 decimals coincide. The cubic root of 20666112 is about 274.4224219311.

The spelling of 20666112 in words is "twenty million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 379 384 426 568 758 768 852 1136 1137 1516 1704 2272 2274 3032 3408 4544 4548 6064 6816 9088 9096 12128 13632 18176 18192 24256 26909 27264 36384 48512 53818 54528 72768 80727 97024 107636 145536 161454 215272 291072 322908 430544 645816 861088 1291632 1722176 2583264 3444352 5166528 6888704 10333056 20666112