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14317380 = 223257111033
BaseRepresentation
bin110110100111…
…011101000100
3222221101202100
4312213131010
512131124010
61230512100
7232460430
oct66473504
928841670
1014317380
118099950
124965630
132c73a2c
141c899c0
1513cc2c0
hexda7744

14317380 has 144 divisors (see below), whose sum is σ = 54198144. Its totient is φ = 2972160.

The previous prime is 14317379. The next prime is 14317399. The reversal of 14317380 is 8371341.

It is a nialpdrome in base 16.

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, 13344 + ... + 14376.

It is an arithmetic number, because the mean of its divisors is an integer number (376376).

Almost surely, 214317380 is an apocalyptic number.

14317380 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 14317380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27099072).

14317380 is an abundant number, since it is smaller than the sum of its proper divisors (39880764).

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

14317380 is a wasteful number, since it uses less digits than its factorization.

14317380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

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

The square root of 14317380 is about 3783.8313915924. The cubic root of 14317380 is about 242.8218986588.

The spelling of 14317380 in words is "fourteen million, three hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1033 1155 1260 1386 1540 1980 2066 2310 2772 3099 3465 4132 4620 5165 6198 6930 7231 9297 10330 11363 12396 13860 14462 15495 18594 20660 21693 22726 28924 30990 34089 36155 37188 43386 45452 46485 56815 61980 65079 68178 72310 79541 86772 92970 102267 108465 113630 130158 136356 144620 159082 170445 185940 204534 216930 227260 238623 260316 318164 325395 340890 397705 409068 433860 477246 511335 650790 681780 715869 795410 954492 1022670 1193115 1301580 1431738 1590820 2045340 2386230 2863476 3579345 4772460 7158690 14317380