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21383680 = 2958353
BaseRepresentation
bin101000110010…
…0101000000000
31111020101220011
41101210220000
520433234210
62042154304
7346521043
oct121445000
944211804
1021383680
111108596a
1271b2994
134579186
142ba8c5a
151d25d8a
hex1464a00

21383680 has 40 divisors (see below), whose sum is σ = 51276852. Its totient is φ = 8552448.

The previous prime is 21383651. The next prime is 21383699. The reversal of 21383680 is 8638312.

It can be written as a sum of positive squares in 2 ways, for example, as 21381376 + 2304 = 4624^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×213836803 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1617 + ... + 6736.

Almost surely, 221383680 is an apocalyptic number.

21383680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21383680 is an abundant number, since it is smaller than the sum of its proper divisors (29893172).

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

21383680 is an frugal number, since it uses more digits than its factorization.

21383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 21383680 is about 4624.2491282369. The cubic root of 21383680 is about 277.5625160128.

The spelling of 21383680 in words is "twenty-one million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8353 16706 33412 41765 66824 83530 133648 167060 267296 334120 534592 668240 1069184 1336480 2138368 2672960 4276736 5345920 10691840 21383680