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14809320 = 23325311327
BaseRepresentation
bin111000011111…
…100011101000
31000212101120100
4320133203220
512242344240
61245225400
7236606601
oct70374350
930771510
1014809320
1183a5509
124b62260
1330b6916
141d76da8
151477e30
hexe1f8e8

14809320 has 96 divisors (see below), whose sum is σ = 49720320. Its totient is φ = 3818880.

The previous prime is 14809279. The next prime is 14809349. The reversal of 14809320 is 2390841.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10497 + ... + 11823.

It is an arithmetic number, because the mean of its divisors is an integer number (517920).

Almost surely, 214809320 is an apocalyptic number.

14809320 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 14809320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860160).

14809320 is an abundant number, since it is smaller than the sum of its proper divisors (34911000).

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

14809320 is a wasteful number, since it uses less digits than its factorization.

14809320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14809320 is about 3848.2879310156. The cubic root of 14809320 is about 245.5717315482.

It can be divided in two parts, 14809 and 320, that added together give a square (15129 = 1232).

The spelling of 14809320 in words is "fourteen million, eight hundred nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1327 1395 1860 2232 2654 2790 3720 3981 5308 5580 6635 7962 10616 11160 11943 13270 15924 19905 23886 26540 31848 39810 41137 47772 53080 59715 79620 82274 95544 119430 123411 159240 164548 205685 238860 246822 329096 370233 411370 477720 493644 617055 740466 822740 987288 1234110 1480932 1645480 1851165 2468220 2961864 3702330 4936440 7404660 14809320