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20878560 = 25365179
BaseRepresentation
bin100111110100…
…1010011100000
31110021202000000
41033221103200
520321103220
62023300000
7342315303
oct117512340
943252000
1020878560
111087040a
126baa600
1344302a1
142ab6b3a
151c76390
hex13e94e0

20878560 has 168 divisors, whose sum is σ = 74367720. Its totient is φ = 5536512.

The previous prime is 20878541. The next prime is 20878577. The reversal of 20878560 is 6587802.

20878560 is a `hidden beast` number, since 20 + 8 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116551 + ... + 116729.

It is an arithmetic number, because the mean of its divisors is an integer number (442665).

Almost surely, 220878560 is an apocalyptic number.

20878560 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 20878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37183860).

20878560 is an abundant number, since it is smaller than the sum of its proper divisors (53489160).

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

20878560 is an equidigital number, since it uses as much as digits as its factorization.

20878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20878560 is about 4569.3062930821. The cubic root of 20878560 is about 275.3595737149.

The spelling of 20878560 in words is "twenty million, eight hundred seventy-eight thousand, five hundred sixty".