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21098664 = 2333195397
BaseRepresentation
bin101000001111…
…1000010101000
31110200220221000
41100133002220
520400124124
62032115000
7344223066
oct120370250
943626830
1021098664
1110a00814
127095a60
1344a9522
142b33036
151cbb6c9
hex141f0a8

21098664 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6469632.

The previous prime is 21098663. The next prime is 21098669. The reversal of 21098664 is 46689012.

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

It is not an unprimeable number, because it can be changed into a prime (21098663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217464 + ... + 217560.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 221098664 is an apocalyptic number.

21098664 is a gapful number since it is divisible by the number (24) 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 21098664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

21098664 is an abundant number, since it is smaller than the sum of its proper divisors (42405336).

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

21098664 is a wasteful number, since it uses less digits than its factorization.

21098664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21098664 is about 4593.3282051253. The cubic root of 21098664 is about 276.3238165316.

The spelling of 21098664 in words is "twenty-one million, ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 97 106 108 114 152 159 171 194 212 216 228 291 318 342 388 424 456 477 513 582 636 684 776 873 954 1007 1026 1164 1272 1368 1431 1746 1843 1908 2014 2052 2328 2619 2862 3021 3492 3686 3816 4028 4104 5141 5238 5529 5724 6042 6984 7372 8056 9063 10282 10476 11058 11448 12084 14744 15423 16587 18126 20564 20952 22116 24168 27189 30846 33174 36252 41128 44232 46269 49761 54378 61692 66348 72504 92538 97679 99522 108756 123384 132696 138807 185076 195358 199044 217512 277614 293037 370152 390716 398088 555228 586074 781432 879111 1110456 1172148 1758222 2344296 2637333 3516444 5274666 7032888 10549332 21098664