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21102640 = 24513103197
BaseRepresentation
bin101000010000…
…0000000110000
31110201010101021
41100200000300
520400241030
62032145224
7344240506
oct120400060
943633337
1021102640
1110a037a9
127098214
1344ab290
142b34676
151cbc97a
hex1420030

21102640 has 80 divisors (see below), whose sum is σ = 53621568. Its totient is φ = 7676928.

The previous prime is 21102623. The next prime is 21102643. The reversal of 21102640 is 4620112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21102643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107022 + ... + 107218.

Almost surely, 221102640 is an apocalyptic number.

21102640 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 21102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

21102640 is an abundant number, since it is smaller than the sum of its proper divisors (32518928).

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

21102640 is a wasteful number, since it uses less digits than its factorization.

21102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 21102640 is about 4593.7609863814. The cubic root of 21102640 is about 276.3411729937.

Adding to 21102640 its reverse (4620112), we get a palindrome (25722752).

The spelling of 21102640 in words is "twenty-one million, one hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 197 206 208 260 394 412 515 520 788 824 985 1030 1040 1339 1576 1648 1970 2060 2561 2678 3152 3940 4120 5122 5356 6695 7880 8240 10244 10712 12805 13390 15760 20291 20488 21424 25610 26780 40582 40976 51220 53560 81164 101455 102440 107120 162328 202910 204880 263783 324656 405820 527566 811640 1055132 1318915 1623280 2110264 2637830 4220528 5275660 10551320 21102640