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20243872 = 2511172199
BaseRepresentation
bin100110100111…
…0010110100000
31102002111101001
41031032112200
520140300442
62001521344
7334033015
oct115162640
942074331
1020243872
1110477580
126943254
13426a42c
14298d70c
151b9d2b7
hex134e5a0

20243872 has 72 divisors (see below), whose sum is σ = 46418400. Its totient is φ = 8616960.

The previous prime is 20243863. The next prime is 20243879. The reversal of 20243872 is 27834202.

It is a self number, because there is not a number n which added to its sum of digits gives 20243872.

It is not an unprimeable number, because it can be changed into a prime (20243879) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 101629 + ... + 101827.

It is an arithmetic number, because the mean of its divisors is an integer number (644700).

Almost surely, 220243872 is an apocalyptic number.

20243872 is a gapful number since it is divisible by the number (22) 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 20243872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23209200).

20243872 is an abundant number, since it is smaller than the sum of its proper divisors (26174528).

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

20243872 is a wasteful number, since it uses less digits than its factorization.

20243872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 20243872 is about 4499.3190595911. The cubic root of 20243872 is about 272.5405915460.

It can be divided in two parts, 20243 and 872, that added together give a triangular number (21115 = T205).

The spelling of 20243872 in words is "twenty million, two hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 199 272 289 352 374 398 544 578 748 796 1156 1496 1592 2189 2312 2992 3179 3184 3383 4378 4624 5984 6358 6368 6766 8756 9248 12716 13532 17512 25432 27064 35024 37213 50864 54128 57511 70048 74426 101728 108256 115022 148852 230044 297704 460088 595408 632621 920176 1190816 1265242 1840352 2530484 5060968 10121936 20243872