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13494180 = 2235719289
BaseRepresentation
bin110011011110…
…011110100100
3221101120112110
4303132132210
511423303210
61201121020
7222461430
oct63363644
927346473
1013494180
117687417
124629170
132a4612b
141b139c0
1512b8420
hexcde7a4

13494180 has 144 divisors (see below), whose sum is σ = 46085760. Its totient is φ = 2889216.

The previous prime is 13494167. The next prime is 13494181. The reversal of 13494180 is 8149431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13494181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151576 + ... + 151664.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 213494180 is an apocalyptic number.

13494180 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 13494180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

13494180 is an abundant number, since it is smaller than the sum of its proper divisors (32591580).

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

13494180 is a wasteful number, since it uses less digits than its factorization.

13494180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13494180 is about 3673.4425271127. The cubic root of 13494180 is about 238.0759355653.

The spelling of 13494180 in words is "thirteen million, four hundred ninety-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 89 95 105 114 133 140 178 190 210 228 266 267 285 356 361 380 399 420 445 532 534 570 623 665 722 798 890 1068 1083 1140 1246 1330 1335 1444 1596 1691 1780 1805 1869 1995 2166 2492 2527 2660 2670 3115 3382 3610 3738 3990 4332 5054 5073 5340 5415 6230 6764 7220 7476 7581 7980 8455 9345 10108 10146 10830 11837 12460 12635 15162 16910 18690 20292 21660 23674 25270 25365 30324 32129 33820 35511 37380 37905 47348 50540 50730 59185 64258 71022 75810 96387 101460 118370 128516 142044 151620 160645 177555 192774 224903 236740 321290 355110 385548 449806 481935 642580 674709 710220 899612 963870 1124515 1349418 1927740 2249030 2698836 3373545 4498060 6747090 13494180