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13702080 = 263572039
BaseRepresentation
bin110100010001…
…001111000000
3221210010201110
4310101033000
512001431310
61205403320
7224315520
oct64211700
927703643
1013702080
117809637
124709540
132ab9952
141b69680
151309d20
hexd113c0

13702080 has 112 divisors (see below), whose sum is σ = 49743360. Its totient is φ = 3130368.

The previous prime is 13702069. The next prime is 13702111. The reversal of 13702080 is 8020731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5701 + ... + 7739.

Almost surely, 213702080 is an apocalyptic number.

13702080 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 13702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871680).

13702080 is an abundant number, since it is smaller than the sum of its proper divisors (36041280).

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

13702080 is a wasteful number, since it uses less digits than its factorization.

13702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13702080 is about 3701.6320724783. The cubic root of 13702080 is about 239.2923600187.

The spelling of 13702080 in words is "thirteen million, seven hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2039 2240 3360 4078 6117 6720 8156 10195 12234 14273 16312 20390 24468 28546 30585 32624 40780 42819 48936 57092 61170 65248 71365 81560 85638 97872 114184 122340 130496 142730 163120 171276 195744 214095 228368 244680 285460 326240 342552 391488 428190 456736 489360 570920 652480 685104 856380 913472 978720 1141840 1370208 1712760 1957440 2283680 2740416 3425520 4567360 6851040 13702080