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13681710 = 2345719127
BaseRepresentation
bin110100001100…
…010000101110
3221202002210000
4310030100232
512000303320
61205125130
7224202240
oct64142056
927662700
1013681710
1177a52a9
1246b97a6
132ab05b3
141b62090
151303c90
hexd0c42e

13681710 has 160 divisors (see below), whose sum is σ = 44605440. Its totient is φ = 2939328.

The previous prime is 13681709. The next prime is 13681721. The reversal of 13681710 is 1718631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107667 + ... + 107793.

It is an arithmetic number, because the mean of its divisors is an integer number (278784).

Almost surely, 213681710 is an apocalyptic number.

13681710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13681710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22302720).

13681710 is an abundant number, since it is smaller than the sum of its proper divisors (30923730).

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

13681710 is a wasteful number, since it uses less digits than its factorization.

13681710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13681710 is about 3698.8795600830. The cubic root of 13681710 is about 239.1737210274.

The spelling of 13681710 in words is "thirteen million, six hundred eighty-one thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 127 133 135 162 171 189 190 210 254 266 270 285 315 342 378 381 399 405 513 567 570 630 635 665 762 798 810 855 889 945 1026 1134 1143 1197 1270 1330 1539 1710 1778 1890 1905 1995 2286 2394 2413 2565 2667 2835 3078 3429 3591 3810 3990 4445 4826 5130 5334 5670 5715 5985 6858 7182 7239 7695 8001 8890 10287 10773 11430 11970 12065 13335 14478 15390 16002 16891 17145 17955 20574 21546 21717 24003 24130 26670 33782 34290 35910 36195 40005 43434 48006 50673 51435 53865 65151 72009 72390 80010 84455 101346 102870 107730 108585 120015 130302 144018 152019 168910 195453 217170 240030 253365 304038 325755 360045 390906 456057 506730 651510 720090 760095 912114 977265 1368171 1520190 1954530 2280285 2736342 4560570 6840855 13681710