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13098384 = 2432136997
BaseRepresentation
bin110001111101…
…110110010000
3220122110121100
4301331312100
511323122014
61144424400
7216222465
oct61756620
926573540
1013098384
117437012
124478100
132937c30
141a4d66c
15123b009
hexc7dd90

13098384 has 60 divisors (see below), whose sum is σ = 39482716. Its totient is φ = 4029696.

The previous prime is 13098373. The next prime is 13098389. The reversal of 13098384 is 48389031.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 10112400 = 1728^2 + 3180^2 .

It is a super-2 number, since 2×130983842 = 343135326822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13098389) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1627 + ... + 5370.

Almost surely, 213098384 is an apocalyptic number.

It is an amenable number.

13098384 is an abundant number, since it is smaller than the sum of its proper divisors (26384332).

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

13098384 is a wasteful number, since it uses less digits than its factorization.

13098384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13098384 is about 3619.1689653842. The cubic root of 13098384 is about 235.7251420423.

The spelling of 13098384 in words is "thirteen million, ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 6997 13994 20991 27988 41982 55976 62973 83964 90961 111952 125946 167928 181922 251892 272883 335856 363844 503784 545766 727688 818649 1007568 1091532 1455376 1637298 2183064 3274596 4366128 6549192 13098384