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16668144 = 2432115751
BaseRepresentation
bin111111100101…
…010111110000
31011100211101200
4333211113300
513231340034
61353131200
7261451113
oct77452760
934324350
1016668144
119455029
1256b9b00
1335b7a0c
1422dc57a
1516e3a99
hexfe55f0

16668144 has 30 divisors (see below), whose sum is σ = 46648056. Its totient is φ = 5556000.

The previous prime is 16668137. The next prime is 16668209. The reversal of 16668144 is 44186661.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 16668099 and 16668108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57732 + ... + 58019.

Almost surely, 216668144 is an apocalyptic number.

It is an amenable number.

16668144 is an abundant number, since it is smaller than the sum of its proper divisors (29979912).

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

16668144 is a wasteful number, since it uses less digits than its factorization.

16668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115765 (or 115756 counting only the distinct ones).

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

The square root of 16668144 is about 4082.6638362716. The cubic root of 16668144 is about 255.4440245380. Note that the first 3 decimals are identical.

The spelling of 16668144 in words is "sixteen million, six hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 115751 231502 347253 463004 694506 926008 1041759 1389012 1852016 2083518 2778024 4167036 5556048 8334072 16668144