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16120192 = 27111072
BaseRepresentation
bin111101011111…
…100110000000
31010022222202011
4331133212000
513111321232
61333302304
7254006434
oct75374600
933288664
1016120192
119110380
125494994
13345549a
1421d89c4
151636547
hexf5f980

16120192 has 48 divisors (see below), whose sum is σ = 35364420. Its totient is φ = 7258880.

The previous prime is 16120183. The next prime is 16120193. The reversal of 16120192 is 29102161.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16120193) 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 5 ways as a sum of consecutive naturals, for example, 150603 + ... + 150709.

Almost surely, 216120192 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 16120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682210).

16120192 is an abundant number, since it is smaller than the sum of its proper divisors (19244228).

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

16120192 is an equidigital number, since it uses as much as digits as its factorization.

16120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 16120192 is about 4014.9958904089. The cubic root of 16120192 is about 252.6136050565.

Multiplying 16120192 by its sum of digits (22), we get a square (354644224 = 188322).

16120192 divided by its sum of digits (22) gives a square (732736 = 8562).

The spelling of 16120192 in words is "sixteen million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 352 428 704 856 1177 1408 1712 2354 3424 4708 6848 9416 11449 13696 18832 22898 37664 45796 75328 91592 125939 150656 183184 251878 366368 503756 732736 1007512 1465472 2015024 4030048 8060096 16120192