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20523880 = 23513291361
BaseRepresentation
bin100111001001…
…0101101101000
31102121201110201
41032102231220
520223231010
62011521544
7336310246
oct116225550
942551421
1020523880
1110648993
126a592b4
134337a10
142a23796
151c0623a
hex1392b68

20523880 has 64 divisors (see below), whose sum is σ = 51483600. Its totient is φ = 7311360.

The previous prime is 20523869. The next prime is 20523887. The reversal of 20523880 is 8832502.

It can be written as a sum of positive squares in 8 ways, for example, as 2427364 + 18096516 = 1558^2 + 4254^2 .

It is not an unprimeable number, because it can be changed into a prime (20523887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14400 + ... + 15760.

Almost surely, 220523880 is an apocalyptic number.

20523880 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 20523880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25741800).

20523880 is an abundant number, since it is smaller than the sum of its proper divisors (30959720).

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

20523880 is a wasteful number, since it uses less digits than its factorization.

20523880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 20523880 is about 4530.3289063820. The cubic root of 20523880 is about 273.7914124570.

The spelling of 20523880 in words is "twenty million, five hundred twenty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1361 1508 1885 2722 3016 3770 5444 6805 7540 10888 13610 15080 17693 27220 35386 39469 54440 70772 78938 88465 141544 157876 176930 197345 315752 353860 394690 513097 707720 789380 1026194 1578760 2052388 2565485 4104776 5130970 10261940 20523880