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14146080 = 2535132267
BaseRepresentation
bin110101111101…
…101000100000
3222121200202220
4311331220200
512110133310
61223111040
7231145134
oct65755040
928550686
1014146080
117a92183
1248a2480
132c13a80
141c433c4
151396670
hexd7da20

14146080 has 96 divisors (see below), whose sum is σ = 48009024. Its totient is φ = 3480576.

The previous prime is 14146079. The next prime is 14146103. The reversal of 14146080 is 8064141.

14146080 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 tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×141460802 = 400223158732800, which contains 22 as substring.

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 14146080.

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, 5107 + ... + 7373.

It is an arithmetic number, because the mean of its divisors is an integer number (500094).

Almost surely, 214146080 is an apocalyptic number.

14146080 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 14146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24004512).

14146080 is an abundant number, since it is smaller than the sum of its proper divisors (33862944).

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

14146080 is a wasteful number, since it uses less digits than its factorization.

14146080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14146080 is about 3761.1274905273. The cubic root of 14146080 is about 241.8495980508.

The spelling of 14146080 in words is "fourteen million, one hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 2267 3120 4534 6240 6801 9068 11335 13602 18136 22670 27204 29471 34005 36272 45340 54408 58942 68010 72544 88413 90680 108816 117884 136020 147355 176826 181360 217632 235768 272040 294710 353652 362720 442065 471536 544080 589420 707304 884130 943072 1088160 1178840 1414608 1768260 2357680 2829216 3536520 4715360 7073040 14146080