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16106020 = 2257293967
BaseRepresentation
bin111101011100…
…001000100100
31010022021022021
4331130020210
513110343040
61333112524
7253620220
oct75341044
933267267
1016106020
119100767
125488744
13344bbb8
1421d3780
15163224a
hexf5c224

16106020 has 48 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 5330304.

The previous prime is 16106017. The next prime is 16106033. The reversal of 16106020 is 2060161.

It is a junction number, because it is equal to n+sod(n) for n = 16105985 and 16106003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2077 + ... + 6043.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 216106020 is an apocalyptic number.

16106020 is a gapful number since it is divisible by the number (10) 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 16106020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

16106020 is an abundant number, since it is smaller than the sum of its proper divisors (23891420).

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

16106020 is a wasteful number, since it uses less digits than its factorization.

16106020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 16106020 is about 4013.2306188406. The cubic root of 16106020 is about 252.5395552841.

Adding to 16106020 its reverse (2060161), we get a palindrome (18166181).

The spelling of 16106020 in words is "sixteen million, one hundred six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3967 4060 7934 15868 19835 27769 39670 55538 79340 111076 115043 138845 230086 277690 460172 555380 575215 805301 1150430 1610602 2300860 3221204 4026505 8053010 16106020