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20115248 = 2423471163
BaseRepresentation
bin100110010111…
…0111100110000
31101211221221012
41030232330300
520122141443
61555050052
7332656016
oct114567460
941757835
1020115248
111039997a
1268a0928
134223a1a
1429588b6
151b75118
hex132ef30

20115248 has 40 divisors (see below), whose sum is σ = 41568768. Its totient is φ = 9407552.

The previous prime is 20115247. The next prime is 20115253. The reversal of 20115248 is 84251102.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (20115247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16715 + ... + 17877.

Almost surely, 220115248 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 20115248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784384).

20115248 is an abundant number, since it is smaller than the sum of its proper divisors (21453520).

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

20115248 is a wasteful number, since it uses less digits than its factorization.

20115248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 20115248 is about 4485.0025641018. The cubic root of 20115248 is about 271.9621487121.

Subtracting from 20115248 its sum of digits (23), we obtain a square (20115225 = 44852).

The spelling of 20115248 in words is "twenty million, one hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 1163 2162 2326 4324 4652 8648 9304 17296 18608 26749 53498 54661 106996 109322 213992 218644 427984 437288 874576 1257203 2514406 5028812 10057624 20115248