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13098140 = 22511292053
BaseRepresentation
bin110001111101…
…110010011100
3220122110021022
4301331302130
511323120030
61144423312
7216221666
oct61756234
926573238
1013098140
117436910
124477b38
132937aa3
141a4d536
15123ade5
hexc7dc9c

13098140 has 48 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 4596480.

The previous prime is 13098139. The next prime is 13098149. The reversal of 13098140 is 4189031.

It is a super-2 number, since 2×130981402 = 343122542919200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13098149) 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, 5354 + ... + 7406.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 213098140 is an apocalyptic number.

13098140 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 13098140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

13098140 is an abundant number, since it is smaller than the sum of its proper divisors (17958340).

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

13098140 is a wasteful number, since it uses less digits than its factorization.

13098140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13098140 is about 3619.1352558311. The cubic root of 13098140 is about 235.7236783174.

It can be divided in two parts, 1309 and 8140, that added together give a palindrome (9449).

The spelling of 13098140 in words is "thirteen million, ninety-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2053 3190 4106 6380 8212 10265 20530 22583 41060 45166 59537 90332 112915 119074 225830 238148 297685 451660 595370 654907 1190740 1309814 2619628 3274535 6549070 13098140