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11421810 = 234559239
BaseRepresentation
bin101011100100…
…100001110010
3210111021210000
4223210201302
510410444220
61044450430
7166040511
oct53444162
923437700
1011421810
1164a1414
1239a9a16
13249ba8a
141734678
151009390
hexae4872

11421810 has 80 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 2981664.

The previous prime is 11421803. The next prime is 11421859. The reversal of 11421810 is 1812411.

11421810 is a nontrivial binomial coefficient, being equal to C(4780, 2).

It is a super-2 number, since 2×114218102 = 260915487352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 47671 + ... + 47909.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 211421810 is an apocalyptic number.

11421810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11421810 is the 4779-th triangular number and also the 2390-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11421810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681600).

11421810 is an abundant number, since it is smaller than the sum of its proper divisors (19941390).

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

11421810 is a wasteful number, since it uses less digits than its factorization.

11421810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11421810 is about 3379.6168421879. The cubic root of 11421810 is about 225.2051462321.

It can be divided in two parts, 11 and 421810, that added together give a triangular number (421821 = T918).

The spelling of 11421810 in words is "eleven million, four hundred twenty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 239 270 295 354 405 478 531 590 717 810 885 1062 1195 1434 1593 1770 2151 2390 2655 3186 3585 4302 4779 5310 6453 7170 7965 9558 10755 12906 14101 15930 19359 21510 23895 28202 32265 38718 42303 47790 64530 70505 84606 96795 126909 141010 193590 211515 253818 380727 423030 634545 761454 1142181 1269090 1903635 2284362 3807270 5710905 11421810