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16542144 = 26343191
BaseRepresentation
bin111111000110…
…100111000000
31011010102120000
4333012213000
513213322034
61350320000
7260414553
oct77064700
934112500
1016542144
1193793a3
125659000
133572568
1422a869a
1516bb599
hexfc69c0

16542144 has 70 divisors (see below), whose sum is σ = 49051464. Its totient is φ = 5512320.

The previous prime is 16542137. The next prime is 16542181. The reversal of 16542144 is 44124561.

16542144 is a `hidden beast` number, since 1 + 654 + 2 + 1 + 4 + 4 = 666.

16542144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3589 + ... + 6779.

Almost surely, 216542144 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 16542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525732).

16542144 is an abundant number, since it is smaller than the sum of its proper divisors (32509320).

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

16542144 is an equidigital number, since it uses as much as digits as its factorization.

16542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3196 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 16542144 is about 4067.2034618396. The cubic root of 16542144 is about 254.7987339203.

The spelling of 16542144 in words is "sixteen million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3191 5184 6382 9573 12764 19146 25528 28719 38292 51056 57438 76584 86157 102112 114876 153168 172314 204224 229752 258471 306336 344628 459504 516942 612672 689256 919008 1033884 1378512 1838016 2067768 2757024 4135536 5514048 8271072 16542144