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21283104 = 253475389
BaseRepresentation
bin101000100110…
…0000100100000
31111001021221010
41101030010200
520422024404
62040100520
7345621603
oct121140440
944037833
1021283104
1111017347
127164740
13454246b
142b8033a
151d06189
hex144c120

21283104 has 96 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 6735872.

The previous prime is 21283091. The next prime is 21283111. The reversal of 21283104 is 40138212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 239092 + ... + 239180.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 221283104 is an apocalyptic number.

21283104 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 21283104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

21283104 is an abundant number, since it is smaller than the sum of its proper divisors (37503456).

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

21283104 is a wasteful number, since it uses less digits than its factorization.

21283104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21283104 is about 4613.3614642688. The cubic root of 21283104 is about 277.1266694663.

The spelling of 21283104 in words is "twenty-one million, two hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 89 94 96 106 141 159 178 188 212 267 282 318 356 376 424 534 564 636 712 752 848 1068 1128 1272 1424 1504 1696 2136 2256 2491 2544 2848 4183 4272 4512 4717 4982 5088 7473 8366 8544 9434 9964 12549 14151 14946 16732 18868 19928 25098 28302 29892 33464 37736 39856 50196 56604 59784 66928 75472 79712 100392 113208 119568 133856 150944 200784 221699 226416 239136 401568 443398 452832 665097 886796 1330194 1773592 2660388 3547184 5320776 7094368 10641552 21283104