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21100032 = 293219241
BaseRepresentation
bin101000001111…
…1011000000000
31110200222210200
41100133120000
520400200112
62032125200
7344230062
oct120373000
943628720
1021100032
1110a01848
127096800
1344aa035
142b33732
151cbbcdc
hex141f600

21100032 has 120 divisors (see below), whose sum is σ = 64367160. Its totient is φ = 6635520.

The previous prime is 21100021. The next prime is 21100033. The reversal of 21100032 is 23000112.

It is a happy number.

It is a super-2 number, since 2×211000322 = 890422700802048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21099987 and 21100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87432 + ... + 87672.

It is an arithmetic number, because the mean of its divisors is an integer number (536393).

Almost surely, 221100032 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 21100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32183580).

21100032 is an abundant number, since it is smaller than the sum of its proper divisors (43267128).

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

21100032 is a wasteful number, since it uses less digits than its factorization.

21100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21100032 is about 4593.4771143438. The cubic root of 21100032 is about 276.3297885181.

Adding to 21100032 its reverse (23000112), we get a palindrome (44100144).

The spelling of 21100032 in words is "twenty-one million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 241 256 288 304 342 384 456 482 512 576 608 684 723 768 912 964 1152 1216 1368 1446 1536 1824 1928 2169 2304 2432 2736 2892 3648 3856 4338 4579 4608 4864 5472 5784 7296 7712 8676 9158 9728 10944 11568 13737 14592 15424 17352 18316 21888 23136 27474 29184 30848 34704 36632 41211 43776 46272 54948 61696 69408 73264 82422 87552 92544 109896 123392 138816 146528 164844 185088 219792 277632 293056 329688 370176 439584 555264 586112 659376 879168 1110528 1172224 1318752 1758336 2344448 2637504 3516672 5275008 7033344 10550016 21100032