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13080140 = 2251723173
BaseRepresentation
bin110001111001…
…011001001100
3220121112120122
4301321121030
511322031030
61144204112
7216115343
oct61713114
926545518
1013080140
117424337
124469638
13292c838
141a46b5a
1512358e5
hexc7964c

13080140 has 72 divisors (see below), whose sum is σ = 30532992. Its totient is φ = 4700160.

The previous prime is 13080139. The next prime is 13080143. The reversal of 13080140 is 4108031.

It is a happy number.

13080140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13080143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179144 + ... + 179216.

Almost surely, 213080140 is an apocalyptic number.

13080140 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 13080140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266496).

13080140 is an abundant number, since it is smaller than the sum of its proper divisors (17452852).

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

13080140 is a wasteful number, since it uses less digits than its factorization.

13080140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13080140 is about 3616.6476189975. The cubic root of 13080140 is about 235.6156484409.

13080140 divided by its sum of digits (17) gives a triangular number (769420 = T1240).

Adding to 13080140 its reverse (4108031), we get a palindrome (17188171).

The spelling of 13080140 in words is "thirteen million, eighty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 73 85 124 146 155 170 289 292 310 340 365 527 578 620 730 1054 1156 1241 1445 1460 2108 2263 2482 2635 2890 4526 4964 5270 5780 6205 8959 9052 10540 11315 12410 17918 21097 22630 24820 35836 38471 42194 44795 45260 76942 84388 89590 105485 153884 179180 192355 210970 384710 421940 654007 769420 1308014 2616028 3270035 6540070 13080140