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14461680 = 243560257
BaseRepresentation
bin110111001010…
…101011110000
31000012201200210
4313022223300
512200233210
61233544120
7233631222
oct67125360
930181623
1014461680
118188302
124a15040
132cc460c
141cc6412
151409e20
hexdcaaf0

14461680 has 40 divisors (see below), whose sum is σ = 44831952. Its totient is φ = 3856384.

The previous prime is 14461673. The next prime is 14461693. The reversal of 14461680 is 8616441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 29889 + ... + 30368.

Almost surely, 214461680 is an apocalyptic number.

14461680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14461680 is an abundant number, since it is smaller than the sum of its proper divisors (30370272).

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

14461680 is a wasteful number, since it uses less digits than its factorization.

14461680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60273 (or 60267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14461680 is about 3802.8515616574. The cubic root of 14461680 is about 243.6349463590.

The spelling of 14461680 in words is "fourteen million, four hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 60257 120514 180771 241028 301285 361542 482056 602570 723084 903855 964112 1205140 1446168 1807710 2410280 2892336 3615420 4820560 7230840 14461680