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16706144 = 257135737
BaseRepresentation
bin111111101110…
…101001100000
31011102202112002
4333232221200
513234044034
61354023132
7261666650
oct77565140
934382462
1016706144
119480634
125717aa8
1335cc0c0
14230c360
1516eee7e
hexfeea60

16706144 has 48 divisors (see below), whose sum is σ = 40487328. Its totient is φ = 6607872.

The previous prime is 16706143. The next prime is 16706153. The reversal of 16706144 is 44160761.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16706143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (843486).

Almost surely, 216706144 is an apocalyptic number.

16706144 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 16706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243664).

16706144 is an abundant number, since it is smaller than the sum of its proper divisors (23781184).

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

16706144 is a wasteful number, since it uses less digits than its factorization.

16706144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 16706144 is about 4087.3150111045. The cubic root of 16706144 is about 255.6379974581.

The spelling of 16706144 in words is "sixteen million, seven hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 5737 11474 22948 40159 45896 74581 80318 91792 149162 160636 183584 298324 321272 522067 596648 642544 1044134 1193296 1285088 2088268 2386592 4176536 8353072 16706144