Search a number
-
+
20847456 = 25357383
BaseRepresentation
bin100111110000…
…1101101100000
31110020011100000
41033201231200
520314104311
62022500000
7342125520
oct117415540
943204300
1020847456
111084a003
126b94600
13441c096
142aa9680
151c6c056
hex13e1b60

20847456 has 144 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 5940864.

The previous prime is 20847451. The next prime is 20847481. The reversal of 20847456 is 65474802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20847456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20847451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54241 + ... + 54623.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 220847456 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 20847456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

20847456 is an abundant number, since it is smaller than the sum of its proper divisors (49599648).

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

20847456 is an equidigital number, since it uses as much as digits as its factorization.

20847456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 20847456 is about 4565.9014444028. The cubic root of 20847456 is about 275.2227660542. Note that the first 3 decimals are identical.

The spelling of 20847456 in words is "twenty million, eight hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 383 432 486 504 567 648 672 756 766 864 972 1008 1134 1149 1296 1512 1532 1701 1944 2016 2268 2298 2592 2681 3024 3064 3402 3447 3888 4536 4596 5362 6048 6128 6804 6894 7776 8043 9072 9192 10341 10724 12256 13608 13788 16086 18144 18384 20682 21448 24129 27216 27576 31023 32172 36768 41364 42896 48258 54432 55152 62046 64344 72387 82728 85792 93069 96516 110304 124092 128688 144774 165456 186138 193032 217161 248184 257376 289548 330912 372276 386064 434322 496368 579096 651483 744552 772128 868644 992736 1158192 1302966 1489104 1737288 2316384 2605932 2978208 3474576 5211864 6949152 10423728 20847456