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14166684 = 2233722677
BaseRepresentation
bin110110000010…
…101010011100
3222122202001000
4312002222130
512111313214
61223350300
7231262200
oct66025234
928582030
1014166684
117aa6704
1248b2390
132c2026c
141c4ab00
15139c809
hexd82a9c

14166684 has 72 divisors (see below), whose sum is σ = 42740880. Its totient is φ = 4046112.

The previous prime is 14166679. The next prime is 14166707. The reversal of 14166684 is 48666141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3954 + ... + 6630.

Almost surely, 214166684 is an apocalyptic number.

14166684 is a gapful number since it is divisible by the number (14) 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 14166684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370440).

14166684 is an abundant number, since it is smaller than the sum of its proper divisors (28574196).

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

14166684 is a wasteful number, since it uses less digits than its factorization.

14166684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2689 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14166684 is about 3763.8655661434. The cubic root of 14166684 is about 241.9669604053.

It can be divided in two parts, 1416 and 6684, that added together give a square (8100 = 902).

The spelling of 14166684 in words is "fourteen million, one hundred sixty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 2677 5292 5354 8031 10708 16062 18739 24093 32124 37478 48186 56217 72279 74956 96372 112434 131173 144558 168651 224868 262346 289116 337302 393519 505953 524692 674604 787038 1011906 1180557 1574076 2023812 2361114 3541671 4722228 7083342 14166684