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21411984 = 24311107379
BaseRepresentation
bin101000110101…
…1100010010000
31111021211201110
41101223202100
520440140414
62042533320
7346666416
oct121534220
944254643
1021411984
11110a5160
127207240
134589019
142bb52b6
151d2e459
hex146b890

21411984 has 80 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 6410880.

The previous prime is 21411983. The next prime is 21412021. The reversal of 21411984 is 48911412.

It is not an unprimeable number, because it can be changed into a prime (21411983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56307 + ... + 56685.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 221411984 is an apocalyptic number.

21411984 is a gapful number since it is divisible by the number (24) 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 21411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

21411984 is an abundant number, since it is smaller than the sum of its proper divisors (39655536).

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

21411984 is a wasteful number, since it uses less digits than its factorization.

21411984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 21411984 is about 4627.3085049519. The cubic root of 21411984 is about 277.6849250308.

The spelling of 21411984 in words is "twenty-one million, four hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 379 428 528 642 758 856 1137 1177 1284 1516 1712 2274 2354 2568 3032 3531 4169 4548 4708 5136 6064 7062 8338 9096 9416 12507 14124 16676 18192 18832 25014 28248 33352 40553 50028 56496 66704 81106 100056 121659 162212 200112 243318 324424 446083 486636 648848 892166 973272 1338249 1784332 1946544 2676498 3568664 5352996 7137328 10705992 21411984