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11326480 = 2451161211
BaseRepresentation
bin101011001101…
…010000010000
3210022110000021
4223031100100
510344421410
61042433224
7165162544
oct53152020
923273007
1011326480
116436830
123962814
132467579
14170ba24
15edaeda
hexacd410

11326480 has 80 divisors (see below), whose sum is σ = 29337408. Its totient is φ = 4032000.

The previous prime is 11326453. The next prime is 11326481. The reversal of 11326480 is 8462311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11326481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53575 + ... + 53785.

Almost surely, 211326480 is an apocalyptic number.

11326480 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 11326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668704).

11326480 is an abundant number, since it is smaller than the sum of its proper divisors (18010928).

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

11326480 is a wasteful number, since it uses less digits than its factorization.

11326480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 11326480 is about 3365.4836205217. The cubic root of 11326480 is about 224.5768507883.

Adding to 11326480 its reverse (8462311), we get a palindrome (19788791).

The spelling of 11326480 in words is "eleven million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 211 220 244 305 422 440 488 610 671 844 880 976 1055 1220 1342 1688 2110 2321 2440 2684 3355 3376 4220 4642 4880 5368 6710 8440 9284 10736 11605 12871 13420 16880 18568 23210 25742 26840 37136 46420 51484 53680 64355 92840 102968 128710 141581 185680 205936 257420 283162 514840 566324 707905 1029680 1132648 1415810 2265296 2831620 5663240 11326480