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20506528 = 257432129
BaseRepresentation
bin100111000111…
…0011110100000
31102120211200001
41032032132200
520222202103
62011305344
7336205540
oct116163640
942524601
1020506528
1110636949
126a4b254
13432cb53
142a1b320
151c0101d
hex138e7a0

20506528 has 48 divisors (see below), whose sum is σ = 47234880. Its totient is φ = 8580096.

The previous prime is 20506517. The next prime is 20506543. The reversal of 20506528 is 82560502.

It is a super-2 number, since 2×205065282 = 841035381229568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20506496 and 20506505.

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, 8568 + ... + 10696.

It is an arithmetic number, because the mean of its divisors is an integer number (984060).

Almost surely, 220506528 is an apocalyptic number.

20506528 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 20506528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617440).

20506528 is an abundant number, since it is smaller than the sum of its proper divisors (26728352).

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

20506528 is a wasteful number, since it uses less digits than its factorization.

20506528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 20506528 is about 4528.4134086896. The cubic root of 20506528 is about 273.7142313378.

The spelling of 20506528 in words is "twenty million, five hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2129 2408 4258 4816 8516 9632 14903 17032 29806 34064 59612 68128 91547 119224 183094 238448 366188 476896 640829 732376 1281658 1464752 2563316 2929504 5126632 10253264 20506528