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14423680 = 27531727
BaseRepresentation
bin110111000001…
…011010000000
31000010210120101
4313001122000
512143024210
61233052144
7233412355
oct67013200
930123511
1014423680
1181617a7
1249b7054
132cb022b
141cb662c
1513eda3a
hexdc1680

14423680 has 64 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 5575680.

The previous prime is 14423653. The next prime is 14423683. The reversal of 14423680 is 8632441.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14423683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19477 + ... + 20203.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 214423680 is an apocalyptic number.

14423680 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 14423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

14423680 is an abundant number, since it is smaller than the sum of its proper divisors (21219200).

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

14423680 is an equidigital number, since it uses as much as digits as its factorization.

14423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 14423680 is about 3797.8520245002. The cubic root of 14423680 is about 243.4213647002.

The spelling of 14423680 in words is "fourteen million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 727 992 1240 1454 1984 2480 2908 3635 3968 4960 5816 7270 9920 11632 14540 19840 22537 23264 29080 45074 46528 58160 90148 93056 112685 116320 180296 225370 232640 360592 450740 465280 721184 901480 1442368 1802960 2884736 3605920 7211840 14423680