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21148764 = 223713107181
BaseRepresentation
bin101000010101…
…1010001011100
31110210110122120
41100223101130
520403230024
62033142540
7344522130
oct120532134
943713576
1021148764
1110a3541a
1270baa50
1344c6280
142b473c0
151ccb479
hex142b45c

21148764 has 96 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 5495040.

The previous prime is 21148759. The next prime is 21148769. The reversal of 21148764 is 46784112.

It is an interprime number because it is at equal distance from previous prime (21148759) and next prime (21148769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21148769) 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 31 ways as a sum of consecutive naturals, for example, 116754 + ... + 116934.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 221148764 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 21148764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

21148764 is an abundant number, since it is smaller than the sum of its proper divisors (40492452).

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

21148764 is a wasteful number, since it uses less digits than its factorization.

21148764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 21148764 is about 4598.7785334804. The cubic root of 21148764 is about 276.5423592789.

It can be divided in two parts, 21148 and 764, that added together give a palindrome (21912).

The spelling of 21148764 in words is "twenty-one million, one hundred forty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 181 182 214 273 321 362 364 428 543 546 642 724 749 1086 1092 1267 1284 1391 1498 2172 2247 2353 2534 2782 2996 3801 4173 4494 4706 5068 5564 7059 7602 8346 8988 9412 9737 14118 15204 16471 16692 19367 19474 28236 29211 32942 38734 38948 49413 58101 58422 65884 77468 98826 116202 116844 135569 197652 232404 251771 271138 406707 503542 542276 755313 813414 1007084 1510626 1626828 1762397 3021252 3524794 5287191 7049588 10574382 21148764