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21530208 = 2537223199
BaseRepresentation
bin101001000100…
…0011001100000
31111111211220010
41102020121200
521002431313
62045244520
7351001200
oct122103140
944454803
1021530208
1111175a67
127263740
1345caa8b
142c06400
151d544c3
hex1488660

21530208 has 144 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 5854464.

The previous prime is 21530161. The next prime is 21530227. The reversal of 21530208 is 80203512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108093 + ... + 108291.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 221530208 is an apocalyptic number.

21530208 is a gapful number since it is divisible by the number (28) 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 21530208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

21530208 is an abundant number, since it is smaller than the sum of its proper divisors (47416992).

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

21530208 is a wasteful number, since it uses less digits than its factorization.

21530208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21530208 is about 4640.0655167788. The cubic root of 21530208 is about 278.1950565935.

The spelling of 21530208 in words is "twenty-one million, five hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 199 224 276 294 322 336 368 392 398 483 552 588 597 644 672 736 784 796 966 1104 1127 1176 1194 1288 1393 1568 1592 1932 2208 2254 2352 2388 2576 2786 3184 3381 3864 4179 4508 4577 4704 4776 5152 5572 6368 6762 7728 8358 9016 9154 9552 9751 11144 13524 13731 15456 16716 18032 18308 19104 19502 22288 27048 27462 29253 32039 33432 36064 36616 39004 44576 54096 54924 58506 64078 66864 73232 78008 96117 108192 109848 117012 128156 133728 146464 156016 192234 219696 224273 234024 256312 312032 384468 439392 448546 468048 512624 672819 768936 897092 936096 1025248 1345638 1537872 1794184 2691276 3075744 3588368 5382552 7176736 10765104 21530208