Search a number
-
+
14073680 = 2451947197
BaseRepresentation
bin110101101011…
…111101010000
3222111000110102
4311223331100
512100324210
61221351532
7230424065
oct65537520
928430412
1014073680
117a42845
1248685a8
132bb9b2a
141c24c6c
15137eea5
hexd6bf50

14073680 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 5193216.

The previous prime is 14073679. The next prime is 14073707. The reversal of 14073680 is 8637041.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71342 + ... + 71538.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 214073680 is an apocalyptic number.

14073680 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 14073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

14073680 is an abundant number, since it is smaller than the sum of its proper divisors (21281200).

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

14073680 is a wasteful number, since it uses less digits than its factorization.

14073680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 14073680 is about 3751.4903705061. The cubic root of 14073680 is about 241.4362946672.

The spelling of 14073680 in words is "fourteen million, seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 197 235 304 376 380 394 470 752 760 788 893 940 985 1520 1576 1786 1880 1970 3152 3572 3743 3760 3940 4465 7144 7486 7880 8930 9259 14288 14972 15760 17860 18518 18715 29944 35720 37036 37430 46295 59888 71440 74072 74860 92590 148144 149720 175921 185180 299440 351842 370360 703684 740720 879605 1407368 1759210 2814736 3518420 7036840 14073680