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21190440 = 2335415973
BaseRepresentation
bin101000011010…
…1011100101000
31110212120211010
41100311130220
520411043230
62034103520
7345054465
oct120653450
943776733
1021190440
1110a63767
12711aba0
13450c22b
142b5866c
151cd89b0
hex1435728

21190440 has 128 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 5345280.

The previous prime is 21190427. The next prime is 21190441. The reversal of 21190440 is 4409112.

It is not an unprimeable number, because it can be changed into a prime (21190441) 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, 290244 + ... + 290316.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 221190440 is an apocalyptic number.

21190440 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 21190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

21190440 is an abundant number, since it is smaller than the sum of its proper divisors (45942360).

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

21190440 is a wasteful number, since it uses less digits than its factorization.

21190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21190440 is about 4603.3075065653. The cubic root of 21190440 is about 276.7238926157.

Adding to 21190440 its reverse (4409112), we get a palindrome (25599552).

The spelling of 21190440 in words is "twenty-one million, one hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 59 60 73 82 118 120 123 146 164 177 205 219 236 246 292 295 328 354 365 410 438 472 492 584 590 615 708 730 820 876 885 984 1095 1180 1230 1416 1460 1640 1752 1770 2190 2360 2419 2460 2920 2993 3540 4307 4380 4838 4920 5986 7080 7257 8614 8760 8979 9676 11972 12095 12921 14514 14965 17228 17958 19352 21535 23944 24190 25842 29028 29930 34456 35916 36285 43070 44895 48380 51684 58056 59860 64605 71832 72570 86140 89790 96760 103368 119720 129210 145140 172280 176587 179580 258420 290280 353174 359160 516840 529761 706348 882935 1059522 1412696 1765870 2119044 2648805 3531740 4238088 5297610 7063480 10595220 21190440