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14473680 = 2435134639
BaseRepresentation
bin110111001101…
…100111010000
31000020100011020
4313031213100
512201124210
61234115440
7234011214
oct67154720
930210136
1014473680
118196321
124a1bb80
132cc9c10
141cca944
15140d770
hexdcd9d0

14473680 has 80 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 3561984.

The previous prime is 14473651. The next prime is 14473691. The reversal of 14473680 is 8637441.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 801 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (604128).

Almost surely, 214473680 is an apocalyptic number.

14473680 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 14473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165120).

14473680 is an abundant number, since it is smaller than the sum of its proper divisors (33856560).

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

14473680 is a wasteful number, since it uses less digits than its factorization.

14473680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 14473680 is about 3804.4289978918. The cubic root of 14473680 is about 243.7023154585.

The spelling of 14473680 in words is "fourteen million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4639 9278 13917 18556 23195 27834 37112 46390 55668 60307 69585 74224 92780 111336 120614 139170 180921 185560 222672 241228 278340 301535 361842 371120 482456 556680 603070 723684 904605 964912 1113360 1206140 1447368 1809210 2412280 2894736 3618420 4824560 7236840 14473680