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20858880 = 21135797
BaseRepresentation
bin100111110010…
…0100000000000
31110020202000010
41033210200000
520314441010
62023024520
7342204030
oct117444000
943222003
1020858880
1110857649
126b9b140
134424343
142aad8c0
151c70620
hex13e4800

20858880 has 192 divisors, whose sum is σ = 77051520. Its totient is φ = 4718592.

The previous prime is 20858879. The next prime is 20858897. The reversal of 20858880 is 8885802.

It is a tau number, because it is divible by the number of its divisors (192).

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, 214992 + ... + 215088.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 220858880 is an apocalyptic number.

20858880 is a gapful number since it is divisible by the number (20) 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 20858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

20858880 is an abundant number, since it is smaller than the sum of its proper divisors (56192640).

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

20858880 is an equidigital number, since it uses as much as digits as its factorization.

20858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 20858880 is about 4567.1522856152. The cubic root of 20858880 is about 275.2730291134.

The spelling of 20858880 in words is "twenty million, eight hundred fifty-eight thousand, eight hundred eighty".