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11330460 = 22325193313
BaseRepresentation
bin101011001110…
…001110011100
3210022122110200
4223032032130
510400033320
61042503500
7165210261
oct53161634
923278420
1011330460
116439819
123964b90
13246931b
14170d268
15edc290
hexace39c

11330460 has 72 divisors (see below), whose sum is σ = 36188880. Its totient is φ = 2861568.

The previous prime is 11330453. The next prime is 11330491. The reversal of 11330460 is 6403311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764 + ... + 5076.

Almost surely, 211330460 is an apocalyptic number.

11330460 is a gapful number since it is divisible by the number (10) 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 11330460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094440).

11330460 is an abundant number, since it is smaller than the sum of its proper divisors (24858420).

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

11330460 is a wasteful number, since it uses less digits than its factorization.

11330460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 11330460 is about 3366.0748654776. The cubic root of 11330460 is about 224.6031523163.

Adding to 11330460 its reverse (6403311), we get a palindrome (17733771).

The spelling of 11330460 in words is "eleven million, three hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3313 3420 6626 9939 13252 16565 19878 29817 33130 39756 49695 59634 62947 66260 99390 119268 125894 149085 188841 198780 251788 298170 314735 377682 566523 596340 629470 755364 944205 1133046 1258940 1888410 2266092 2832615 3776820 5665230 11330460