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14091966 = 2327971153
BaseRepresentation
bin110101110000…
…011010111110
3222111221112200
4311300122332
512101420331
61222012330
7230531310
oct65603276
928457480
1014091966
117a55559
1248770a6
132bc5255
141c2b7b0
1513855e6
hexd706be

14091966 has 48 divisors (see below), whose sum is σ = 35284704. Its totient is φ = 3981312.

The previous prime is 14091943. The next prime is 14091967. The reversal of 14091966 is 66919041.

It is a super-3 number, since 3×140919663 (a number of 22 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 14091966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11646 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (735098).

Almost surely, 214091966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14091966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642352).

14091966 is an abundant number, since it is smaller than the sum of its proper divisors (21192738).

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

14091966 is a wasteful number, since it uses less digits than its factorization.

14091966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 14091966 is about 3753.9267440908. The cubic root of 14091966 is about 241.5408158577.

It can be divided in two parts, 1409 and 1966, that added together give a cube (3375 = 153).

The spelling of 14091966 in words is "fourteen million, ninety-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1153 1358 1746 2037 2306 3459 4074 6111 6918 8071 10377 12222 16142 20754 24213 48426 72639 111841 145278 223682 335523 671046 782887 1006569 1565774 2013138 2348661 4697322 7045983 14091966