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13660080 = 2435747173
BaseRepresentation
bin110100000110…
…111110110000
3221201000002220
4310012332300
511444110310
61204441040
7224052210
oct64067660
927630086
1013660080
117790025
1246a9180
132aa37b5
141b58240
1512ec670
hexd06fb0

13660080 has 160 divisors (see below), whose sum is σ = 49711104. Its totient is φ = 3038208.

The previous prime is 13660051. The next prime is 13660081. The reversal of 13660080 is 8006631.

13660080 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13660080.

It is not an unprimeable number, because it can be changed into a prime (13660081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78874 + ... + 79046.

Almost surely, 213660080 is an apocalyptic number.

13660080 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 13660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24855552).

13660080 is an abundant number, since it is smaller than the sum of its proper divisors (36051024).

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

13660080 is a wasteful number, since it uses less digits than its factorization.

13660080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13660080 is about 3695.9545451750. The cubic root of 13660080 is about 239.0476145629.

The spelling of 13660080 in words is "thirteen million, six hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 173 188 210 235 240 280 282 329 336 346 376 420 470 519 560 564 658 692 705 752 840 865 940 987 1038 1128 1211 1316 1384 1410 1645 1680 1730 1880 1974 2076 2256 2422 2595 2632 2768 2820 3290 3460 3633 3760 3948 4152 4844 4935 5190 5264 5640 6055 6580 6920 7266 7896 8131 8304 9688 9870 10380 11280 12110 13160 13840 14532 15792 16262 18165 19376 19740 20760 24220 24393 26320 29064 32524 36330 39480 40655 41520 48440 48786 56917 58128 65048 72660 78960 81310 96880 97572 113834 121965 130096 145320 162620 170751 195144 227668 243930 284585 290640 325240 341502 390288 455336 487860 569170 650480 683004 853755 910672 975720 1138340 1366008 1707510 1951440 2276680 2732016 3415020 4553360 6830040 13660080