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21484116 = 223523312
BaseRepresentation
bin101000111110…
…1001001010100
31111102111200000
41101331021110
520444442431
62044251300
7350416623
oct121751124
944374600
1021484116
1111144375
127240b30
1345b2ac4
142bd36ba
151d459e6
hex147d254

21484116 has 108 divisors (see below), whose sum is σ = 60723936. Its totient is φ = 6629040.

The previous prime is 21484097. The next prime is 21484121. The reversal of 21484116 is 61148412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21484116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693021 + ... + 693051.

Almost surely, 221484116 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 21484116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30361968).

21484116 is an abundant number, since it is smaller than the sum of its proper divisors (39239820).

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

21484116 is a wasteful number, since it uses less digits than its factorization.

21484116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 21484116 is about 4635.0961155083. The cubic root of 21484116 is about 277.9963942047.

The spelling of 21484116 in words is "twenty-one million, four hundred eighty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 243 276 279 324 372 414 486 558 621 713 828 837 961 972 1116 1242 1426 1674 1863 1922 2139 2484 2511 2852 2883 3348 3726 3844 4278 5022 5589 5766 6417 7452 7533 8556 8649 10044 11178 11532 12834 15066 17298 19251 22103 22356 25668 25947 30132 34596 38502 44206 51894 57753 66309 77004 77841 88412 103788 115506 132618 155682 173259 198927 231012 233523 265236 311364 346518 397854 467046 596781 693036 795708 934092 1193562 1790343 2387124 3580686 5371029 7161372 10742058 21484116