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20127268 = 2274373229
BaseRepresentation
bin100110011000…
…1111000100100
31101212120102101
41030301320210
520123033033
61555221444
7333036040
oct114617044
941776371
1020127268
11103a7a07
1268a7884
134229335
14295d020
151b7897d
hex1331e24

20127268 has 48 divisors (see below), whose sum is σ = 41937280. Its totient is φ = 8273664.

The previous prime is 20127259. The next prime is 20127287. The reversal of 20127268 is 86272102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87778 + ... + 88006.

Almost surely, 220127268 is an apocalyptic number.

20127268 is a gapful number since it is divisible by the number (28) 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 20127268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968640).

20127268 is an abundant number, since it is smaller than the sum of its proper divisors (21810012).

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

20127268 is a wasteful number, since it uses less digits than its factorization.

20127268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 20127268 is about 4486.3423855074. The cubic root of 20127268 is about 272.0163088549.

The spelling of 20127268 in words is "twenty million, one hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 43 73 86 146 172 229 292 301 458 511 602 916 1022 1204 1603 2044 3139 3206 6278 6412 9847 12556 16717 19694 21973 33434 39388 43946 66868 68929 87892 117019 137858 234038 275716 468076 718831 1437662 2875324 5031817 10063634 20127268