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20527520 = 2551371139
BaseRepresentation
bin100111001001…
…1100110100000
31102121220110112
41032103212200
520223340040
62011550452
7336323666
oct116234640
942556415
1020527520
11106506a2
126a5b428
134339580
142a24c36
151c07365
hex13939a0

20527520 has 96 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 7418880.

The previous prime is 20527519. The next prime is 20527547. The reversal of 20527520 is 2572502.

It is an unprimeable number.

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, 147611 + ... + 147749.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 220527520 is an apocalyptic number.

20527520 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 20527520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

20527520 is an abundant number, since it is smaller than the sum of its proper divisors (32815840).

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

20527520 is a wasteful number, since it uses less digits than its factorization.

20527520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 20527520 is about 4530.7306254069. The cubic root of 20527520 is about 273.8075975356.

The spelling of 20527520 in words is "twenty million, five hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 139 142 160 208 260 278 284 355 416 520 556 568 695 710 923 1040 1112 1136 1390 1420 1807 1846 2080 2224 2272 2780 2840 3614 3692 4448 4615 5560 5680 7228 7384 9035 9230 9869 11120 11360 14456 14768 18070 18460 19738 22240 28912 29536 36140 36920 39476 49345 57824 72280 73840 78952 98690 128297 144560 147680 157904 197380 256594 289120 315808 394760 513188 641485 789520 1026376 1282970 1579040 2052752 2565940 4105504 5131880 10263760 20527520