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21448960 = 285131289
BaseRepresentation
bin101000111010…
…0100100000000
31111100201102221
41101310210000
520442331320
62043420424
7350212261
oct121644400
944321387
1021448960
111111aa15
127224714
13459cac0
142bc4968
151d3a3aa
hex1474900

21448960 has 72 divisors (see below), whose sum is σ = 55371960. Its totient is φ = 7913472.

The previous prime is 21448957. The next prime is 21448961. The reversal of 21448960 is 6984412.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 19642624 = 1344^2 + 4432^2 .

It is not an unprimeable number, because it can be changed into a prime (21448961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15996 + ... + 17284.

It is an arithmetic number, because the mean of its divisors is an integer number (769055).

Almost surely, 221448960 is an apocalyptic number.

21448960 is a gapful number since it is divisible by the number (20) 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 21448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27685980).

21448960 is an abundant number, since it is smaller than the sum of its proper divisors (33923000).

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

21448960 is a wasteful number, since it uses less digits than its factorization.

21448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 21448960 is about 4631.3021926884. The cubic root of 21448960 is about 277.8446762724.

The spelling of 21448960 in words is "twenty-one million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1289 1664 2080 2578 3328 4160 5156 6445 8320 10312 12890 16640 16757 20624 25780 33514 41248 51560 67028 82496 83785 103120 134056 164992 167570 206240 268112 329984 335140 412480 536224 670280 824960 1072448 1340560 1649920 2144896 2681120 4289792 5362240 10724480 21448960