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13871340 = 223257101109
BaseRepresentation
bin110100111010…
…100011101100
3222002201220100
4310322203230
512022340330
61213151100
7225622140
oct64724354
928081810
1013871340
11791481a
12478b490
132b489c2
141bb1220
151340060
hexd3a8ec

13871340 has 144 divisors (see below), whose sum is σ = 49008960. Its totient is φ = 3110400.

The previous prime is 13871293. The next prime is 13871357. The reversal of 13871340 is 4317831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127206 + ... + 127314.

It is an arithmetic number, because the mean of its divisors is an integer number (340340).

Almost surely, 213871340 is an apocalyptic number.

13871340 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 13871340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480).

13871340 is an abundant number, since it is smaller than the sum of its proper divisors (35137620).

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

13871340 is a wasteful number, since it uses less digits than its factorization.

13871340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13871340 is about 3724.4247878028. The cubic root of 13871340 is about 240.2736462054.

The spelling of 13871340 in words is "thirteen million, eight hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 109 126 140 180 202 210 218 252 303 315 327 404 420 436 505 545 606 630 654 707 763 909 981 1010 1090 1212 1260 1308 1414 1515 1526 1635 1818 1962 2020 2121 2180 2289 2828 3030 3052 3270 3535 3636 3815 3924 4242 4545 4578 4905 6060 6363 6540 6867 7070 7630 8484 9090 9156 9810 10605 11009 11445 12726 13734 14140 15260 18180 19620 21210 22018 22890 25452 27468 31815 33027 34335 42420 44036 45780 55045 63630 66054 68670 77063 99081 110090 127260 132108 137340 154126 165135 198162 220180 231189 308252 330270 385315 396324 462378 495405 660540 693567 770630 924756 990810 1155945 1387134 1541260 1981620 2311890 2774268 3467835 4623780 6935670 13871340