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21305240 = 23511411181
BaseRepresentation
bin101000101000…
…1011110011000
31111002102021222
41101101132120
520423231430
62040351212
7346043255
oct121213630
944072258
1021305240
1111031a40
127175508
13454c568
142b8842c
151d0c9e5
hex1451798

21305240 has 64 divisors (see below), whose sum is σ = 53615520. Its totient is φ = 7552000.

The previous prime is 21305239. The next prime is 21305257. The reversal of 21305240 is 4250312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17450 + ... + 18630.

Almost surely, 221305240 is an apocalyptic number.

21305240 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 21305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26807760).

21305240 is an abundant number, since it is smaller than the sum of its proper divisors (32310280).

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

21305240 is a wasteful number, since it uses less digits than its factorization.

21305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 21305240 is about 4615.7599590967. The cubic root of 21305240 is about 277.2227135774. Note that the first 3 decimals are identical.

Adding to 21305240 its reverse (4250312), we get a palindrome (25555552).

The spelling of 21305240 in words is "twenty-one million, three hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1181 1640 1804 2255 2362 3608 4510 4724 5905 9020 9448 11810 12991 18040 23620 25982 47240 48421 51964 64955 96842 103928 129910 193684 242105 259820 387368 484210 519640 532631 968420 1065262 1936840 2130524 2663155 4261048 5326310 10652620 21305240