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14016780 = 22335101257
BaseRepresentation
bin110101011110…
…000100001100
3222101010102000
4311132010030
512042014110
61220232300
7230066151
oct65360414
928333360
1014016780
117a04018
12483b690
132b99c6b
141c0c228
15136d1c0
hexd5e10c

14016780 has 96 divisors (see below), whose sum is σ = 44210880. Its totient is φ = 3686400.

The previous prime is 14016767. The next prime is 14016781. The reversal of 14016780 is 8761041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14016781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54412 + ... + 54668.

It is an arithmetic number, because the mean of its divisors is an integer number (460530).

Almost surely, 214016780 is an apocalyptic number.

14016780 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 14016780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105440).

14016780 is an abundant number, since it is smaller than the sum of its proper divisors (30194100).

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

14016780 is a wasteful number, since it uses less digits than its factorization.

14016780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14016780 is about 3743.8990371002. The cubic root of 14016780 is about 241.1104788945.

The spelling of 14016780 in words is "fourteen million, sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 257 270 303 404 505 514 540 606 771 909 1010 1028 1212 1285 1515 1542 1818 2020 2313 2570 2727 3030 3084 3636 3855 4545 4626 5140 5454 6060 6939 7710 9090 9252 10908 11565 13635 13878 15420 18180 23130 25957 27270 27756 34695 46260 51914 54540 69390 77871 103828 129785 138780 155742 233613 259570 311484 389355 467226 519140 700839 778710 934452 1168065 1401678 1557420 2336130 2803356 3504195 4672260 7008390 14016780