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13117440 = 21135761
BaseRepresentation
bin110010000010…
…100000000000
3220200102202010
4302002200000
511324224230
61145052520
7216332160
oct62024000
926612663
1013117440
11744a366
124487140
1329437cb
141a565a0
1512419b0
hexc82800

13117440 has 192 divisors, whose sum is σ = 48746880. Its totient is φ = 2949120.

The previous prime is 13117427. The next prime is 13117453. The reversal of 13117440 is 4471131.

It is an interprime number because it is at equal distance from previous prime (13117427) and next prime (13117453).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215010 + ... + 215070.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 213117440 is an apocalyptic number.

13117440 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 13117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13117440 is an abundant number, since it is smaller than the sum of its proper divisors (35629440).

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

13117440 is an equidigital number, since it uses as much as digits as its factorization.

13117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13117440 is about 3621.8006571318. The cubic root of 13117440 is about 235.8394004552.

Adding to 13117440 its reverse (4471131), we get a palindrome (17588571).

It can be divided in two parts, 131 and 17440, that added together give a palindrome (17571).

The spelling of 13117440 in words is "thirteen million, one hundred seventeen thousand, four hundred forty".