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16067142 = 23271317577
BaseRepresentation
bin111101010010…
…101001000110
31010020021222100
4331102221012
513103122032
61332212530
7253365660
oct75225106
933207870
1016067142
119084533
12546a146
1334372b0
1421c3530
15162597c
hexf52a46

16067142 has 96 divisors (see below), whose sum is σ = 45444672. Its totient is φ = 3981312.

The previous prime is 16067113. The next prime is 16067143. The reversal of 16067142 is 24176061.

16067142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16067143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27558 + ... + 28134.

It is an arithmetic number, because the mean of its divisors is an integer number (473382).

Almost surely, 216067142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16067142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22722336).

16067142 is an abundant number, since it is smaller than the sum of its proper divisors (29377530).

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

16067142 is a wasteful number, since it uses less digits than its factorization.

16067142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16067142 is about 4008.3839636442. The cubic root of 16067142 is about 252.3361915014.

The spelling of 16067142 in words is "sixteen million, sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 577 663 714 819 1071 1154 1326 1547 1638 1731 1989 2142 3094 3462 3978 4039 4641 5193 7501 8078 9282 9809 10386 12117 13923 15002 19618 22503 24234 27846 29427 36351 45006 52507 58854 67509 68663 72702 88281 105014 127517 135018 137326 157521 176562 205989 255034 315042 382551 411978 472563 617967 765102 892619 945126 1147653 1235934 1785238 2295306 2677857 5355714 8033571 16067142