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21080448 = 273229631
BaseRepresentation
bin101000001101…
…0100110000000
31110122222221100
41100122212000
520344033243
62031454400
7344116014
oct120324600
943588840
1021080448
1110999064
127087400
1344a114c
142b2a544
151cb60d3
hex141a980

21080448 has 96 divisors (see below), whose sum is σ = 62852400. Its totient is φ = 6773760.

The previous prime is 21080447. The next prime is 21080467. The reversal of 21080448 is 84408012.

21080448 is a `hidden beast` number, since 210 + 8 + 0 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21080447) 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, 33093 + ... + 33723.

Almost surely, 221080448 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 21080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426200).

21080448 is an abundant number, since it is smaller than the sum of its proper divisors (41771952).

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

21080448 is a wasteful number, since it uses less digits than its factorization.

21080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21080448 is about 4591.3449010067. The cubic root of 21080448 is about 276.2442702005.

It can be divided in two parts, 21080 and 448, that added together give a triangular number (21528 = T207).

The spelling of 21080448 in words is "twenty-one million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 631 696 928 1044 1152 1262 1392 1856 1893 2088 2524 2784 3712 3786 4176 5048 5568 5679 7572 8352 10096 11136 11358 15144 16704 18299 20192 22716 30288 33408 36598 40384 45432 54897 60576 73196 80768 90864 109794 121152 146392 164691 181728 219588 242304 292784 329382 363456 439176 585568 658764 726912 878352 1171136 1317528 1756704 2342272 2635056 3513408 5270112 7026816 10540224 21080448