[go: up one dir, main page]

Search a number
-
+
21147048 = 23331317443
BaseRepresentation
bin101000010101…
…0110110101000
31110210101022000
41100222312220
520403201143
62033131000
7344514126
oct120526650
943711260
1021147048
1110a340aa
1270b9a60
1344c5560
142b46916
151ccabd3
hex142ada8

21147048 has 128 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 6110208.

The previous prime is 21147037. The next prime is 21147059. The reversal of 21147048 is 84074112.

It is an interprime number because it is at equal distance from previous prime (21147037) and next prime (21147059).

It is a super-2 number, since 2×211470482 = 894395278228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47515 + ... + 47957.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 221147048 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 21147048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

21147048 is an abundant number, since it is smaller than the sum of its proper divisors (45985752).

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

21147048 is a wasteful number, since it uses less digits than its factorization.

21147048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21147048 is about 4598.5919584151. The cubic root of 21147048 is about 276.5348795743.

The spelling of 21147048 in words is "twenty-one million, one hundred forty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 443 459 468 612 663 702 884 886 918 936 1224 1326 1329 1404 1768 1772 1836 1989 2652 2658 2808 3544 3672 3978 3987 5304 5316 5759 5967 7531 7956 7974 10632 11518 11934 11961 15062 15912 15948 17277 22593 23036 23868 23922 30124 31896 34554 45186 46072 47736 47844 51831 60248 67779 69108 90372 95688 97903 103662 135558 138216 155493 180744 195806 203337 207324 271116 293709 310986 391612 406674 414648 542232 587418 621972 783224 813348 881127 1174836 1243944 1626696 1762254 2349672 2643381 3524508 5286762 7049016 10573524 21147048