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21619872 = 253419439
BaseRepresentation
bin101001001111…
…0010010100000
31111200101220000
41102132102200
521013313442
62051220000
7351523461
oct122362240
944611800
1021619872
111122736a
1272a7600
13462c831
142c2ad68
151d70d4c
hex149e4a0

21619872 has 120 divisors (see below), whose sum is σ = 67082400. Its totient is φ = 6811776.

The previous prime is 21619867. The next prime is 21619879. The reversal of 21619872 is 27891612.

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 (21619879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49029 + ... + 49467.

It is an arithmetic number, because the mean of its divisors is an integer number (559020).

Almost surely, 221619872 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 21619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33541200).

21619872 is an abundant number, since it is smaller than the sum of its proper divisors (45462528).

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

21619872 is a wasteful number, since it uses less digits than its factorization.

21619872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 21619872 is about 4649.7174107681. The cubic root of 21619872 is about 278.5807090737.

The spelling of 21619872 in words is "twenty-one million, six hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 439 456 513 608 648 684 864 878 912 1026 1296 1317 1368 1539 1756 1824 2052 2592 2634 2736 3078 3512 3951 4104 5268 5472 6156 7024 7902 8208 8341 10536 11853 12312 14048 15804 16416 16682 21072 23706 24624 25023 31608 33364 35559 42144 47412 49248 50046 63216 66728 71118 75069 94824 100092 126432 133456 142236 150138 189648 200184 225207 266912 284472 300276 379296 400368 450414 568944 600552 675621 800736 900828 1137888 1201104 1351242 1801656 2402208 2702484 3603312 5404968 7206624 10809936 21619872