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20538252 = 2233723881
BaseRepresentation
bin100111001011…
…0001110001100
31102122110012000
41032112032030
520224211002
62012112300
7336400200
oct116261614
942573160
1020538252
1110658769
126a65690
134341417
142a28b00
151c0a61c
hex139638c

20538252 has 72 divisors (see below), whose sum is σ = 61956720. Its totient is φ = 5866560.

The previous prime is 20538239. The next prime is 20538283. The reversal of 20538252 is 25283502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3352 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (860510).

Almost surely, 220538252 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 20538252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30978360).

20538252 is an abundant number, since it is smaller than the sum of its proper divisors (41418468).

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

20538252 is a wasteful number, since it uses less digits than its factorization.

20538252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20538252 is about 4531.9148270902. The cubic root of 20538252 is about 273.8553057048.

The spelling of 20538252 in words is "twenty million, five hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 3881 5292 7762 11643 15524 23286 27167 34929 46572 54334 69858 81501 104787 108668 139716 163002 190169 209574 244503 326004 380338 419148 489006 570507 733509 760676 978012 1141014 1467018 1711521 2282028 2934036 3423042 5134563 6846084 10269126 20538252