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16120420 = 2251722789
BaseRepresentation
bin111101011111…
…101001100100
31010100000001121
4331133221210
513111323140
61333303324
7254010211
oct75375144
933300047
1016120420
119110568
125494b44
133455614
1421d8b08
15163664a
hexf5fa64

16120420 has 36 divisors (see below), whose sum is σ = 35974260. Its totient is φ = 6066688.

The previous prime is 16120411. The next prime is 16120453. The reversal of 16120420 is 2402161.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 14807104 = 1146^2 + 3848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16120394 and 16120403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386 + ... + 7174.

It is an arithmetic number, because the mean of its divisors is an integer number (999285).

Almost surely, 216120420 is an apocalyptic number.

16120420 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 16120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987130).

16120420 is an abundant number, since it is smaller than the sum of its proper divisors (19853840).

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

16120420 is a wasteful number, since it uses less digits than its factorization.

16120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 16120420 is about 4015.0242838618. The cubic root of 16120420 is about 252.6147960190.

Adding to 16120420 its reverse (2402161), we get a palindrome (18522581).

The spelling of 16120420 in words is "sixteen million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2789 2890 5578 5780 11156 13945 27890 47413 55780 94826 189652 237065 474130 806021 948260 1612042 3224084 4030105 8060210 16120420