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13098672 = 24361123
BaseRepresentation
bin110001111101…
…111010110000
3220122111000000
4301331322300
511323124142
61144430000
7216223356
oct61757260
926574000
1013098672
117437254
124478300
1329380c2
141a4d7d6
15123b14c
hexc7deb0

13098672 has 70 divisors (see below), whose sum is σ = 38084492. Its totient is φ = 4362336.

The previous prime is 13098671. The next prime is 13098689. The reversal of 13098672 is 27689031.

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 (13098671) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11103 + ... + 12225.

Almost surely, 213098672 is an apocalyptic number.

13098672 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 13098672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042246).

13098672 is an abundant number, since it is smaller than the sum of its proper divisors (24985820).

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

13098672 is an equidigital number, since it uses as much as digits as its factorization.

13098672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13098672 is about 3619.2087533051. The cubic root of 13098672 is about 235.7268696942.

The spelling of 13098672 in words is "thirteen million, ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1123 1296 1458 1944 2246 2916 3369 3888 4492 5832 6738 8984 10107 11664 13476 17968 20214 26952 30321 40428 53904 60642 80856 90963 121284 161712 181926 242568 272889 363852 485136 545778 727704 818667 1091556 1455408 1637334 2183112 3274668 4366224 6549336 13098672