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21239424 = 2732103179
BaseRepresentation
bin101000100000…
…1011010000000
31110222002000100
41101001122000
520414130144
62035122400
7345350343
oct121013200
943862010
1021239424
1110a97548
127143400
13452860b
142b6c45a
151ce8269
hex1441680

21239424 has 96 divisors (see below), whose sum is σ = 62056800. Its totient is φ = 6971904.

The previous prime is 21239381. The next prime is 21239429. The reversal of 21239424 is 42493212.

21239424 is a `hidden beast` number, since 2 + 1 + 239 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212394242 = 902226263703552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21239429) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 118567 + ... + 118745.

It is an arithmetic number, because the mean of its divisors is an integer number (646425).

Almost surely, 221239424 is an apocalyptic number.

21239424 is a gapful number since it is divisible by the number (24) 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 21239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31028400).

21239424 is an abundant number, since it is smaller than the sum of its proper divisors (40817376).

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

21239424 is a wasteful number, since it uses less digits than its factorization.

21239424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21239424 is about 4608.6249576202. The cubic root of 21239424 is about 276.9369542903.

The spelling of 21239424 in words is "twenty-one million, two hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 179 192 206 288 309 358 384 412 537 576 618 716 824 927 1074 1152 1236 1432 1611 1648 1854 2148 2472 2864 3222 3296 3708 4296 4944 5728 6444 6592 7416 8592 9888 11456 12888 13184 14832 17184 18437 19776 22912 25776 29664 34368 36874 39552 51552 55311 59328 68736 73748 103104 110622 118656 147496 165933 206208 221244 294992 331866 442488 589984 663732 884976 1179968 1327464 1769952 2359936 2654928 3539904 5309856 7079808 10619712 21239424