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20523888 = 2433711617
BaseRepresentation
bin100111001001…
…0101101110000
31102121201111000
41032102231300
520223231023
62011522000
7336310260
oct116225560
942551430
1020523888
11106489a0
126a59300
134337a18
142a237a0
151c06243
hex1392b70

20523888 has 160 divisors (see below), whose sum is σ = 73566720. Its totient is φ = 5322240.

The previous prime is 20523887. The next prime is 20523911. The reversal of 20523888 is 88832502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32956 + ... + 33572.

It is an arithmetic number, because the mean of its divisors is an integer number (459792).

Almost surely, 220523888 is an apocalyptic number.

20523888 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 20523888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36783360).

20523888 is an abundant number, since it is smaller than the sum of its proper divisors (53042832).

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

20523888 is a wasteful number, since it uses less digits than its factorization.

20523888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 20523888 is about 4530.3297893200. The cubic root of 20523888 is about 273.7914480307.

The spelling of 20523888 in words is "twenty million, five hundred twenty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 617 693 756 792 924 1008 1188 1232 1234 1386 1512 1584 1848 1851 2079 2376 2468 2772 3024 3696 3702 4158 4319 4752 4936 5544 5553 6787 7404 8316 8638 9872 11088 11106 12957 13574 14808 16632 16659 17276 20361 22212 25914 27148 29616 33264 33318 34552 38871 40722 44424 47509 51828 54296 61083 66636 69104 77742 81444 88848 95018 103656 108592 116613 122166 133272 142527 155484 162888 183249 190036 207312 233226 244332 266544 285054 310968 325776 366498 380072 427581 466452 488664 570108 621936 732996 760144 855162 932904 977328 1140216 1282743 1465992 1710324 1865808 2280432 2565486 2931984 3420648 5130972 6841296 10261944 20523888