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13189960 = 2357172163
BaseRepresentation
bin110010010100…
…001101001000
3220211010020001
4302110031020
511334034320
61150412344
7220053460
oct62241510
926733201
1013189960
1174998a3
1245010b4
13296a814
141a74ba0
15125820a
hexc94348

13189960 has 96 divisors (see below), whose sum is σ = 36250560. Its totient is φ = 4230144.

The previous prime is 13189937. The next prime is 13189999. The reversal of 13189960 is 6998131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80839 + ... + 81001.

It is an arithmetic number, because the mean of its divisors is an integer number (377610).

Almost surely, 213189960 is an apocalyptic number.

13189960 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 13189960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125280).

13189960 is an abundant number, since it is smaller than the sum of its proper divisors (23060600).

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

13189960 is a wasteful number, since it uses less digits than its factorization.

13189960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 13189960 is about 3631.7984525576. The cubic root of 13189960 is about 236.2732160868.

The spelling of 13189960 in words is "thirteen million, one hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 163 170 238 280 289 326 340 476 578 595 652 680 815 952 1141 1156 1190 1304 1445 1630 2023 2282 2312 2380 2771 2890 3260 4046 4564 4760 5542 5705 5780 6520 8092 9128 10115 11084 11410 11560 13855 16184 19397 20230 22168 22820 27710 38794 40460 45640 47107 55420 77588 80920 94214 96985 110840 155176 188428 193970 235535 329749 376856 387940 471070 659498 775880 942140 1318996 1648745 1884280 2637992 3297490 6594980 13189960