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21450480 = 2435139643
BaseRepresentation
bin101000111010…
…0111011110000
31111100210112020
41101310323300
520442403410
62043431440
7350216562
oct121647360
944323466
1021450480
1111121077
127225580
1345a06bc
142bc5332
151d3aa70
hex1474ef0

21450480 has 80 divisors (see below), whose sum is σ = 67079040. Its totient is φ = 5670144.

The previous prime is 21450479. The next prime is 21450493. The reversal of 21450480 is 8405412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21450480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33039 + ... + 33681.

It is an arithmetic number, because the mean of its divisors is an integer number (838488).

Almost surely, 221450480 is an apocalyptic number.

21450480 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 21450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33539520).

21450480 is an abundant number, since it is smaller than the sum of its proper divisors (45628560).

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

21450480 is a wasteful number, since it uses less digits than its factorization.

21450480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 21450480 is about 4631.4662904959. The cubic root of 21450480 is about 277.8512393557.

Adding to 21450480 its reverse (8405412), we get a palindrome (29855892).

The spelling of 21450480 in words is "twenty-one million, four hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 643 695 834 1112 1286 1390 1668 1929 2085 2224 2572 2780 3215 3336 3858 4170 5144 5560 6430 6672 7716 8340 9645 10288 11120 12860 15432 16680 19290 25720 30864 33360 38580 51440 77160 89377 154320 178754 268131 357508 446885 536262 715016 893770 1072524 1340655 1430032 1787540 2145048 2681310 3575080 4290096 5362620 7150160 10725240 21450480