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21485088 = 2537307
BaseRepresentation
bin101000111110…
…1011000100000
31111102120000000
41101331120200
521000010323
62044300000
7350422512
oct121753040
944376000
1021485088
1111145079
127241600
1345b3391
142bd3bb2
151d45e43
hex147d620

21485088 has 96 divisors (see below), whose sum is σ = 63645120. Its totient is φ = 7138368.

The previous prime is 21485083. The next prime is 21485089. The reversal of 21485088 is 88058412.

21485088 is a `hidden beast` number, since 2 + 148 + 508 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21485083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69831 + ... + 70137.

It is an arithmetic number, because the mean of its divisors is an integer number (662970).

Almost surely, 221485088 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 21485088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31822560).

21485088 is an abundant number, since it is smaller than the sum of its proper divisors (42160032).

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

21485088 is an frugal number, since it uses more digits than its factorization.

21485088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 21485088 is about 4635.2009665170. The cubic root of 21485088 is about 278.0005865799. Note that the first 3 decimals are identical.

The spelling of 21485088 in words is "twenty-one million, four hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 307 324 432 486 614 648 729 864 921 972 1228 1296 1458 1842 1944 2187 2456 2592 2763 2916 3684 3888 4374 4912 5526 5832 7368 7776 8289 8748 9824 11052 11664 14736 16578 17496 22104 23328 24867 29472 33156 34992 44208 49734 66312 69984 74601 88416 99468 132624 149202 198936 223803 265248 298404 397872 447606 596808 671409 795744 895212 1193616 1342818 1790424 2387232 2685636 3580848 5371272 7161696 10742544 21485088