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14161416 = 2335973137
BaseRepresentation
bin110110000001…
…011000001000
3222122110210220
4312001120020
512111131131
61223310040
7231240633
oct66013010
928573726
1014161416
117aa2755
1248ab320
132c1aa49
141c48c1a
15139ae96
hexd81608

14161416 has 64 divisors (see below), whose sum is σ = 36763200. Its totient is φ = 4543488.

The previous prime is 14161409. The next prime is 14161421. The reversal of 14161416 is 61416141.

It is a super-3 number, since 3×141614163 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

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, 103300 + ... + 103436.

It is an arithmetic number, because the mean of its divisors is an integer number (574425).

Almost surely, 214161416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14161416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381600).

14161416 is an abundant number, since it is smaller than the sum of its proper divisors (22601784).

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

14161416 is a wasteful number, since it uses less digits than its factorization.

14161416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 14161416 is about 3763.1656886191. The cubic root of 14161416 is about 241.9369642071.

Adding to 14161416 its reverse (61416141), we get a palindrome (75577557).

The spelling of 14161416 in words is "fourteen million, one hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 59 73 118 137 146 177 219 236 274 292 354 411 438 472 548 584 708 822 876 1096 1416 1644 1752 3288 4307 8083 8614 10001 12921 16166 17228 20002 24249 25842 30003 32332 34456 40004 48498 51684 60006 64664 80008 96996 103368 120012 193992 240024 590059 1180118 1770177 2360236 3540354 4720472 7080708 14161416