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20520528 = 2437157389
BaseRepresentation
bin100111001000…
…1111001010000
31102121112212120
41032101321100
520223124103
62011454240
7336264420
oct116217120
942545776
1020520528
1110646416
126a57380
134336332
142a22480
151c05253
hex1391e50

20520528 has 80 divisors (see below), whose sum is σ = 61127040. Its totient is φ = 5810688.

The previous prime is 20520527. The next prime is 20520553. The reversal of 20520528 is 82502502.

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 = 20520498 and 20520507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20520523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52558 + ... + 52946.

It is an arithmetic number, because the mean of its divisors is an integer number (764088).

Almost surely, 220520528 is an apocalyptic number.

20520528 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 20520528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30563520).

20520528 is an abundant number, since it is smaller than the sum of its proper divisors (40606512).

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

20520528 is a wasteful number, since it uses less digits than its factorization.

20520528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

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

The square root of 20520528 is about 4529.9589402113. The cubic root of 20520528 is about 273.7765062635.

The spelling of 20520528 in words is "twenty million, five hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 389 471 628 778 942 1099 1167 1256 1556 1884 2198 2334 2512 2723 3112 3297 3768 4396 4668 5446 6224 6594 7536 8169 8792 9336 10892 13188 16338 17584 18672 21784 26376 32676 43568 52752 61073 65352 122146 130704 183219 244292 366438 427511 488584 732876 855022 977168 1282533 1465752 1710044 2565066 2931504 3420088 5130132 6840176 10260264 20520528