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13098432 = 263174013
BaseRepresentation
bin110001111101…
…110111000000
3220122110200010
4301331313000
511323122212
61144424520
7216222564
oct61756700
926573603
1013098432
117437056
124478140
132937c69
141a4d6a4
15123b03c
hexc7ddc0

13098432 has 56 divisors (see below), whose sum is σ = 36704016. Its totient is φ = 4108288.

The previous prime is 13098389. The next prime is 13098439. The reversal of 13098432 is 23489031.

It is a self number, because there is not a number n which added to its sum of digits gives 13098432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13098439) 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 7 ways as a sum of consecutive naturals, for example, 1258 + ... + 5270.

Almost surely, 213098432 is an apocalyptic number.

13098432 is a gapful number since it is divisible by the number (12) 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 13098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352008).

13098432 is an abundant number, since it is smaller than the sum of its proper divisors (23605584).

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

13098432 is a wasteful number, since it uses less digits than its factorization.

13098432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13098432 is about 3619.1755967347. The cubic root of 13098432 is about 235.7254299860.

It can be divided in two parts, 13098 and 432, that added together give a triangular number (13530 = T164).

The spelling of 13098432 in words is "thirteen million, ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 4013 8026 12039 16052 24078 32104 48156 64208 68221 96312 128416 136442 192624 204663 256832 272884 385248 409326 545768 770496 818652 1091536 1637304 2183072 3274608 4366144 6549216 13098432