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14148680 = 235713323
BaseRepresentation
bin110101111110…
…010001001000
3222121211100012
4311332101020
512110224210
61223131052
7231155540
oct65762110
928554305
1014148680
117a94127
1248a3a88
132c15000
141c44320
151397305
hexd7e448

14148680 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4283136.

The previous prime is 14148647. The next prime is 14148691. The reversal of 14148680 is 8684141.

14148680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615149 + ... + 615171.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 214148680 is an apocalyptic number.

14148680 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 14148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

14148680 is an abundant number, since it is smaller than the sum of its proper divisors (26977720).

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

14148680 is a wasteful number, since it uses less digits than its factorization.

14148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 14148680 is about 3761.4731156822. The cubic root of 14148680 is about 241.8644141797.

The spelling of 14148680 in words is "fourteen million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 169 182 184 230 260 280 299 322 338 364 455 460 520 598 644 676 728 805 845 910 920 1183 1196 1288 1352 1495 1610 1690 1820 2093 2197 2366 2392 2990 3220 3380 3640 3887 4186 4394 4732 5915 5980 6440 6760 7774 8372 8788 9464 10465 10985 11830 11960 15379 15548 16744 17576 19435 20930 21970 23660 27209 30758 31096 38870 41860 43940 47320 50531 54418 61516 76895 77740 83720 87880 101062 108836 123032 136045 153790 155480 202124 217672 252655 272090 307580 353717 404248 505310 544180 615160 707434 1010620 1088360 1414868 1768585 2021240 2829736 3537170 7074340 14148680