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14497680 = 2435292083
BaseRepresentation
bin110111010011…
…011110010000
31000021120002010
4313103132100
512202411210
61234422520
7234141201
oct67233620
930246063
1014497680
11820235a
124a31a40
133007b12
141cd55a8
151415920
hexdd3790

14497680 has 80 divisors (see below), whose sum is σ = 46514880. Its totient is φ = 3730944.

The previous prime is 14497669. The next prime is 14497697. The reversal of 14497680 is 8679441.

It is a happy number.

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

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, 5919 + ... + 8001.

It is an arithmetic number, because the mean of its divisors is an integer number (581436).

Almost surely, 214497680 is an apocalyptic number.

14497680 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 14497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23257440).

14497680 is an abundant number, since it is smaller than the sum of its proper divisors (32017200).

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

14497680 is a wasteful number, since it uses less digits than its factorization.

14497680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14497680 is about 3807.5819098215. The cubic root of 14497680 is about 243.8369420294.

The spelling of 14497680 in words is "fourteen million, four hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2083 2320 3480 4166 6249 6960 8332 10415 12498 16664 20830 24996 31245 33328 41660 49992 60407 62490 83320 99984 120814 124980 166640 181221 241628 249960 302035 362442 483256 499920 604070 724884 906105 966512 1208140 1449768 1812210 2416280 2899536 3624420 4832560 7248840 14497680