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20121888 = 253239877
BaseRepresentation
bin100110011000…
…0100100100000
31101212022001010
41030300210200
520122400023
61555140520
7333014253
oct114604440
941768033
1020121888
11103a3966
1268a4740
134226a57
14295b09a
151b77093
hex1330920

20121888 has 48 divisors (see below), whose sum is σ = 53101440. Its totient is φ = 6671616.

The previous prime is 20121869. The next prime is 20121901. The reversal of 20121888 is 88812102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22506 + ... + 23382.

It is an arithmetic number, because the mean of its divisors is an integer number (1106280).

Almost surely, 220121888 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 20121888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26550720).

20121888 is an abundant number, since it is smaller than the sum of its proper divisors (32979552).

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

20121888 is a wasteful number, since it uses less digits than its factorization.

20121888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 20121888 is about 4485.7427478624. The cubic root of 20121888 is about 271.9920701264.

The spelling of 20121888 in words is "twenty million, one hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 877 956 1434 1754 1912 2631 2868 3508 3824 5262 5736 7016 7648 10524 11472 14032 21048 22944 28064 42096 84192 209603 419206 628809 838412 1257618 1676824 2515236 3353648 5030472 6707296 10060944 20121888