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21648420 = 22325127947
BaseRepresentation
bin101001010010…
…1010000100100
31111201212001100
41102211100210
521020222140
62052000100
7352002633
oct122452044
944655040
1021648420
1111246862
127300030
13463c821
142c3751a
151d79530
hex14a5424

21648420 has 72 divisors (see below), whose sum is σ = 66253824. Its totient is φ = 5721408.

The previous prime is 21648401. The next prime is 21648421. The reversal of 21648420 is 2484612.

It is not an unprimeable number, because it can be changed into a prime (21648421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22387 + ... + 23333.

It is an arithmetic number, because the mean of its divisors is an integer number (920192).

Almost surely, 221648420 is an apocalyptic number.

21648420 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 21648420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33126912).

21648420 is an abundant number, since it is smaller than the sum of its proper divisors (44605404).

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

21648420 is a wasteful number, since it uses less digits than its factorization.

21648420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 21648420 is about 4652.7862620155. The cubic root of 21648420 is about 278.7032726141.

The spelling of 21648420 in words is "twenty-one million, six hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 947 1143 1270 1524 1894 1905 2286 2540 2841 3788 3810 4572 4735 5682 5715 7620 8523 9470 11364 11430 14205 17046 18940 22860 28410 34092 42615 56820 85230 120269 170460 240538 360807 481076 601345 721614 1082421 1202690 1443228 1804035 2164842 2405380 3608070 4329684 5412105 7216140 10824210 21648420