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20648460 = 22357211233
BaseRepresentation
bin100111011000…
…1001000001100
31102212001100210
41032301020030
520241222320
62014322420
7340336410
oct116611014
942761323
1020648460
1110723548
126ab9410
13437c631
142a56d40
151c2d0e0
hex13b120c

20648460 has 96 divisors (see below), whose sum is σ = 66673152. Its totient is φ = 4677120.

The previous prime is 20648443. The next prime is 20648477. The reversal of 20648460 is 6484602.

It is an interprime number because it is at equal distance from previous prime (20648443) and next prime (20648477).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88504 + ... + 88736.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 220648460 is an apocalyptic number.

20648460 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 20648460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336576).

20648460 is an abundant number, since it is smaller than the sum of its proper divisors (46024692).

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

20648460 is a wasteful number, since it uses less digits than its factorization.

20648460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20648460 is about 4544.0576580849. The cubic root of 20648460 is about 274.3442668586.

The spelling of 20648460 in words is "twenty million, six hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 233 420 422 466 633 699 844 932 1055 1165 1266 1398 1477 1631 2110 2330 2532 2796 2954 3165 3262 3495 4220 4431 4660 4893 5908 6330 6524 6990 7385 8155 8862 9786 12660 13980 14770 16310 17724 19572 22155 24465 29540 32620 44310 48930 49163 88620 97860 98326 147489 196652 245815 294978 344141 491630 589956 688282 737445 983260 1032423 1376564 1474890 1720705 2064846 2949780 3441410 4129692 5162115 6882820 10324230 20648460