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14138460 = 2232573229
BaseRepresentation
bin110101111011…
…110001011100
3222121022022200
4311323301130
512104412320
61223011500
7231114000
oct65736134
928538280
1014138460
117a87486
124899b90
132c1046b
141c40700
151394290
hexd7bc5c

14138460 has 144 divisors (see below), whose sum is σ = 50232000. Its totient is φ = 3217536.

The previous prime is 14138419. The next prime is 14138473. The reversal of 14138460 is 6483141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61626 + ... + 61854.

Almost surely, 214138460 is an apocalyptic number.

14138460 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 14138460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116000).

14138460 is an abundant number, since it is smaller than the sum of its proper divisors (36093540).

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

14138460 is a wasteful number, since it uses less digits than its factorization.

14138460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14138460 is about 3760.1143599630. The cubic root of 14138460 is about 241.8061649363.

The spelling of 14138460 in words is "fourteen million, one hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 229 245 252 294 315 343 420 441 458 490 588 630 686 687 735 882 916 980 1029 1145 1260 1372 1374 1470 1603 1715 1764 2058 2061 2205 2290 2748 2940 3087 3206 3430 3435 4116 4122 4410 4580 4809 5145 6174 6412 6860 6870 8015 8244 8820 9618 10290 10305 11221 12348 13740 14427 15435 16030 19236 20580 20610 22442 24045 28854 30870 32060 33663 41220 44884 48090 56105 57708 61740 67326 72135 78547 96180 100989 112210 134652 144270 157094 168315 201978 224420 235641 288540 314188 336630 392735 403956 471282 504945 673260 706923 785470 942564 1009890 1178205 1413846 1570940 2019780 2356410 2827692 3534615 4712820 7069230 14138460