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20906448 = 2432329653
BaseRepresentation
bin100111111000…
…0000111010000
31110100011020220
41033300013100
520323001243
62024033040
7342462513
oct117600720
943304226
1020906448
111088a362
127002780
13443cba4
142ac2d7a
151c7e783
hex13f01d0

20906448 has 80 divisors (see below), whose sum is σ = 58389120. Its totient is φ = 6426112.

The previous prime is 20906407. The next prime is 20906449. The reversal of 20906448 is 84460902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20906449) 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 15 ways as a sum of consecutive naturals, for example, 31690 + ... + 32342.

It is an arithmetic number, because the mean of its divisors is an integer number (729864).

Almost surely, 220906448 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 20906448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29194560).

20906448 is an abundant number, since it is smaller than the sum of its proper divisors (37482672).

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

20906448 is a wasteful number, since it uses less digits than its factorization.

20906448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20906448 is about 4572.3569414472. The cubic root of 20906448 is about 275.4821206597.

The spelling of 20906448 in words is "twenty million, nine hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 653 667 696 1104 1306 1334 1392 1959 2001 2612 2668 3918 4002 5224 5336 7836 8004 10448 10672 15019 15672 16008 18937 30038 31344 32016 37874 45057 56811 60076 75748 90114 113622 120152 151496 180228 227244 240304 302992 360456 435551 454488 720912 871102 908976 1306653 1742204 2613306 3484408 5226612 6968816 10453224 20906448