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21007740 = 223513231171
BaseRepresentation
bin101000000100…
…0110101111100
31110112022012110
41100020311330
520334221430
62030134020
7343364025
oct120106574
943468173
1021007740
1110949476
127051310
134477020
142b0bc4c
151c9e7b0
hex1408d7c

21007740 has 96 divisors (see below), whose sum is σ = 66157056. Its totient is φ = 4942080.

The previous prime is 21007709. The next prime is 21007741. The reversal of 21007740 is 4770012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21007741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17355 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (689136).

Almost surely, 221007740 is an apocalyptic number.

21007740 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 21007740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078528).

21007740 is an abundant number, since it is smaller than the sum of its proper divisors (45149316).

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

21007740 is a wasteful number, since it uses less digits than its factorization.

21007740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 21007740 is about 4583.4201203904. The cubic root of 21007740 is about 275.9263088288.

Adding to 21007740 its reverse (4770012), we get a palindrome (25777752).

The spelling of 21007740 in words is "twenty-one million, seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1171 1196 1380 1495 1794 2342 2990 3513 3588 4485 4684 5855 5980 7026 8970 11710 14052 15223 17565 17940 23420 26933 30446 35130 45669 53866 60892 70260 76115 80799 91338 107732 134665 152230 161598 182676 228345 269330 304460 323196 350129 403995 456690 538660 700258 807990 913380 1050387 1400516 1615980 1750645 2100774 3501290 4201548 5251935 7002580 10503870 21007740