Base | Representation |
---|---|
bin | 111110011100… |
… | …100111100000 |
3 | 1010210200121122 |
4 | 332130213200 |
5 | 13142321034 |
6 | 1342511412 |
7 | 256100240 |
oct | 76344740 |
9 | 33720548 |
10 | 16370144 |
11 | 927114a |
12 | 5595568 |
13 | 351219b |
14 | 2261b20 |
15 | 168562e |
hex | f9c9e0 |
16370144 has 48 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 6940032.
The previous prime is 16370141. The next prime is 16370149. The reversal of 16370144 is 44107361.
It is a super-2 number, since 2×163701442 = 535963229161472, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16370141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23627 + ... + 24309.
It is an arithmetic number, because the mean of its divisors is an integer number (775656).
Almost surely, 216370144 is an apocalyptic number.
16370144 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 16370144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).
16370144 is an abundant number, since it is smaller than the sum of its proper divisors (20861344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16370144 is a wasteful number, since it uses less digits than its factorization.
16370144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 807 (or 799 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 26.
The square root of 16370144 is about 4046.0034602061. The cubic root of 16370144 is about 253.9125497201.
It can be divided in two parts, 163 and 70144, that added together give a palindrome (70307).
The spelling of 16370144 in words is "sixteen million, three hundred seventy thousand, one hundred forty-four".
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