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21384480 = 25351323149
BaseRepresentation
bin101000110010…
…0110100100000
31111020102222210
41101210310200
520433300410
62042202120
7346523265
oct121446440
944212883
1021384480
1111086527
1271b3340
134579650
142ba926c
151d26220
hex1464d20

21384480 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 5001216.

The previous prime is 21384479. The next prime is 21384509. The reversal of 21384480 is 8448312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143446 + ... + 143594.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 221384480 is an apocalyptic number.

21384480 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 21384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

21384480 is an abundant number, since it is smaller than the sum of its proper divisors (54820320).

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

21384480 is a wasteful number, since it uses less digits than its factorization.

21384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 21384480 is about 4624.3356279578. The cubic root of 21384480 is about 277.5659773323.

The spelling of 21384480 in words is "twenty-one million, three hundred eighty-four thousand, four hundred eighty".