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21440672 = 2511173583
BaseRepresentation
bin101000111001…
…0100010100000
31111100022001222
41101302202200
520442100142
62043314212
7350146151
oct121624240
944308058
1021440672
1111114770
12721b968
1345990b6
142bc1928
151d37bd2
hex14728a0

21440672 has 48 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 9169920.

The previous prime is 21440647. The next prime is 21440677. The reversal of 21440672 is 27604412.

It is a super-3 number, since 3×214406723 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21440677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4193 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 221440672 is an apocalyptic number.

21440672 is a gapful number since it is divisible by the number (22) 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 21440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536).

21440672 is an abundant number, since it is smaller than the sum of its proper divisors (27330400).

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

21440672 is a wasteful number, since it uses less digits than its factorization.

21440672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 21440672 is about 4630.4073254952. The cubic root of 21440672 is about 277.8088847415.

The spelling of 21440672 in words is "twenty-one million, four hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 3583 5984 7166 14332 28664 39413 57328 60911 78826 114656 121822 157652 243644 315304 487288 630608 670021 974576 1261216 1340042 1949152 2680084 5360168 10720336 21440672