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14066160 = 2435294347
BaseRepresentation
bin110101101010…
…000111110000
3222110122010220
4311222013300
512100104120
61221253040
7230363133
oct65520760
928418126
1014066160
117a38129
124864180
132bb6594
141c2221a
15137cb40
hexd6a1f0

14066160 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3462144.

The previous prime is 14066153. The next prime is 14066161. The reversal of 14066160 is 6166041.

14066160 = T155 + T156 + ... + T444.

14066160 is digitally balanced in base 2 and base 4, because in such bases 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 14066160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14066161) 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, 299257 + ... + 299303.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 214066160 is an apocalyptic number.

14066160 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 14066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

14066160 is an abundant number, since it is smaller than the sum of its proper divisors (33073680).

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

14066160 is a wasteful number, since it uses less digits than its factorization.

14066160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

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

The square root of 14066160 is about 3750.4879682516. The cubic root of 14066160 is about 241.3932847270.

The spelling of 14066160 in words is "fourteen million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 43 47 48 58 60 80 86 87 94 116 120 129 141 145 172 174 188 215 232 235 240 258 282 290 344 348 376 430 435 464 470 516 564 580 645 688 696 705 752 860 870 940 1032 1128 1160 1247 1290 1363 1392 1410 1720 1740 1880 2021 2064 2256 2320 2494 2580 2726 2820 3440 3480 3741 3760 4042 4089 4988 5160 5452 5640 6063 6235 6815 6960 7482 8084 8178 9976 10105 10320 10904 11280 12126 12470 13630 14964 16168 16356 18705 19952 20210 20445 21808 24252 24940 27260 29928 30315 32336 32712 37410 40420 40890 48504 49880 54520 58609 59856 60630 65424 74820 80840 81780 97008 99760 109040 117218 121260 149640 161680 163560 175827 234436 242520 293045 299280 327120 351654 468872 485040 586090 703308 879135 937744 1172180 1406616 1758270 2344360 2813232 3516540 4688720 7033080 14066160