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21104208 = 24321737233
BaseRepresentation
bin101000010000…
…0011001010000
31110201012112100
41100200121100
520400313313
62032200400
7344245206
oct120403120
943635470
1021104208
1110a049a4
127099100
1344abbc8
142b35076
151cbd173
hex1420650

21104208 has 120 divisors (see below), whose sum is σ = 64502568. Its totient is φ = 6414336.

The previous prime is 21104203. The next prime is 21104221. The reversal of 21104208 is 80240112.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 14197824 = 2628^2 + 3768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21104203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90460 + ... + 90692.

Almost surely, 221104208 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 21104208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251284).

21104208 is an abundant number, since it is smaller than the sum of its proper divisors (43398360).

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

21104208 is a wasteful number, since it uses less digits than its factorization.

21104208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21104208 is about 4593.9316494698. The cubic root of 21104208 is about 276.3480171963.

It can be divided in two parts, 21104 and 208, that added together give a palindrome (21312).

The spelling of 21104208 in words is "twenty-one million, one hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 233 272 296 306 333 408 444 466 592 612 629 666 699 816 888 932 1224 1258 1332 1398 1776 1864 1887 2097 2448 2516 2664 2796 3728 3774 3961 4194 5032 5328 5592 5661 7548 7922 8388 8621 10064 11184 11322 11883 15096 15844 16776 17242 22644 23766 25863 30192 31688 33552 34484 35649 45288 47532 51726 63376 68968 71298 77589 90576 95064 103452 137936 142596 146557 155178 190128 206904 285192 293114 310356 413808 439671 570384 586228 620712 879342 1172456 1241424 1319013 1758684 2344912 2638026 3517368 5276052 7034736 10552104 21104208