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20502528 = 21134771
BaseRepresentation
bin100111000110…
…1100000000000
31102120122011220
41032031200000
520222040103
62011235040
7336161064
oct116154000
942518156
1020502528
1110633942
126a48a80
13432b097
142a19aa4
151beec53
hex138d800

20502528 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6594560.

The previous prime is 20502509. The next prime is 20502533. The reversal of 20502528 is 82520502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20502498 and 20502507.

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, 288733 + ... + 288803.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 220502528 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 20502528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

20502528 is an abundant number, since it is smaller than the sum of its proper divisors (36106752).

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

20502528 is an equidigital number, since it uses as much as digits as its factorization.

20502528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 20502528 is about 4527.9717313605. The cubic root of 20502528 is about 273.6964332961.

The spelling of 20502528 in words is "twenty million, five hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 128 141 142 188 192 213 256 282 284 376 384 426 512 564 568 752 768 852 1024 1128 1136 1504 1536 1704 2048 2256 2272 3008 3072 3337 3408 4512 4544 6016 6144 6674 6816 9024 9088 10011 12032 13348 13632 18048 18176 20022 24064 26696 27264 36096 36352 40044 48128 53392 54528 72192 72704 80088 96256 106784 109056 144384 145408 160176 213568 218112 288768 320352 427136 436224 640704 854272 1281408 1708544 2562816 3417088 5125632 6834176 10251264 20502528