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14197320 = 23325113349
BaseRepresentation
bin110110001010…
…001001001000
3222201022001200
4312022021020
512113303240
61224144200
7231450414
oct66121110
928638050
1014197320
118017725
124908060
132c311a7
141c57d44
1513a6930
hexd8a248

14197320 has 96 divisors (see below), whose sum is σ = 46683000. Its totient is φ = 3741696.

The previous prime is 14197319. The next prime is 14197331. The reversal of 14197320 is 2379141.

It can be written as a sum of positive squares in 4 ways, for example, as 8749764 + 5447556 = 2958^2 + 2334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40506 + ... + 40854.

Almost surely, 214197320 is an apocalyptic number.

14197320 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 14197320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23341500).

14197320 is an abundant number, since it is smaller than the sum of its proper divisors (32485680).

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

14197320 is a wasteful number, since it uses less digits than its factorization.

14197320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14197320 is about 3767.9331204256. The cubic root of 14197320 is about 242.1412557838.

It can be divided in two parts, 141 and 97320, that added together give a triangular number (97461 = T441).

The spelling of 14197320 in words is "fourteen million, one hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 349 360 452 565 678 698 904 1017 1047 1130 1356 1396 1695 1745 2034 2094 2260 2712 2792 3141 3390 3490 4068 4188 4520 5085 5235 6282 6780 6980 8136 8376 10170 10470 12564 13560 13960 15705 20340 20940 25128 31410 39437 40680 41880 62820 78874 118311 125640 157748 197185 236622 315496 354933 394370 473244 591555 709866 788740 946488 1183110 1419732 1577480 1774665 2366220 2839464 3549330 4732440 7098660 14197320