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13445760 = 273547149
BaseRepresentation
bin110011010010…
…101010000000
3221022010010010
4303102222000
511420231020
61200104520
7222200316
oct63225200
927263103
1013445760
117653aa9
124605140
132a2a093
141b000b6
1512a8de0
hexcd2a80

13445760 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3485696.

The previous prime is 13445741. The next prime is 13445791. The reversal of 13445760 is 6754431.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 90166 + ... + 90314.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 213445760 is an apocalyptic number.

13445760 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 13445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

13445760 is an abundant number, since it is smaller than the sum of its proper divisors (30618240).

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

13445760 is a wasteful number, since it uses less digits than its factorization.

13445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 13445760 is about 3666.8460562178. The cubic root of 13445760 is about 237.7908385278.

The spelling of 13445760 in words is "thirteen million, four hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 149 160 188 192 235 240 282 298 320 376 384 447 470 480 564 596 640 705 745 752 894 940 960 1128 1192 1410 1490 1504 1788 1880 1920 2235 2256 2384 2820 2980 3008 3576 3760 4470 4512 4768 5640 5960 6016 7003 7152 7520 8940 9024 9536 11280 11920 14006 14304 15040 17880 18048 19072 21009 22560 23840 28012 28608 30080 35015 35760 42018 45120 47680 56024 57216 70030 71520 84036 90240 95360 105045 112048 140060 143040 168072 210090 224096 280120 286080 336144 420180 448192 560240 672288 840360 896384 1120480 1344576 1680720 2240960 2689152 3361440 4481920 6722880 13445760