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20848240 = 245759631
BaseRepresentation
bin100111110000…
…1111001110000
31110020012102001
41033201321300
520314120430
62022503344
7342131020
oct117417160
943205361
1020848240
111084a656
126b94b54
13441c54a
142aa9a80
151c6c3ca
hex13e1e70

20848240 has 80 divisors (see below), whose sum is σ = 56424960. Its totient is φ = 7015680.

The previous prime is 20848237. The next prime is 20848241. The reversal of 20848240 is 4284802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×208482402 = 869298222195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20848199 and 20848208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20848241) 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 15 ways as a sum of consecutive naturals, for example, 32725 + ... + 33355.

It is an arithmetic number, because the mean of its divisors is an integer number (705312).

Almost surely, 220848240 is an apocalyptic number.

20848240 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 20848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28212480).

20848240 is an abundant number, since it is smaller than the sum of its proper divisors (35576720).

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

20848240 is a wasteful number, since it uses less digits than its factorization.

20848240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 20848240 is about 4565.9872973980. The cubic root of 20848240 is about 275.2262160666.

The spelling of 20848240 in words is "twenty million, eight hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 631 826 944 1180 1262 1652 2065 2360 2524 3155 3304 4130 4417 4720 5048 6310 6608 8260 8834 10096 12620 16520 17668 22085 25240 33040 35336 37229 44170 50480 70672 74458 88340 148916 176680 186145 260603 297832 353360 372290 521206 595664 744580 1042412 1303015 1489160 2084824 2606030 2978320 4169648 5212060 10424120 20848240