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16553142 = 23219291669
BaseRepresentation
bin111111001001…
…010010110110
31011010222122100
4333021102312
513214200032
61350442530
7260461614
oct77112266
934128570
1016553142
119386691
125663446
133577578
1422ac6b4
1516be97c
hexfc94b6

16553142 has 48 divisors (see below), whose sum is σ = 39078000. Its totient is φ = 5044032.

The previous prime is 16553129. The next prime is 16553149. The reversal of 16553142 is 24135561.

16553142 is a `hidden beast` number, since 1 + 655 + 3 + 1 + 4 + 2 = 666.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16553149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9084 + ... + 10752.

It is an arithmetic number, because the mean of its divisors is an integer number (814125).

Almost surely, 216553142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16553142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539000).

16553142 is an abundant number, since it is smaller than the sum of its proper divisors (22524858).

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

16553142 is a wasteful number, since it uses less digits than its factorization.

16553142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1722 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 16553142 is about 4068.5552718379. Note that the first 3 decimals coincide. The cubic root of 16553142 is about 254.8551888288.

The spelling of 16553142 in words is "sixteen million, five hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 1669 3306 3338 4959 5007 9918 10014 15021 30042 31711 48401 63422 95133 96802 145203 190266 285399 290406 435609 570798 871218 919619 1839238 2758857 5517714 8276571 16553142