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146162142 = 23272834099
BaseRepresentation
bin10001011011001…
…00000111011110
3101012000210202200
420231210013132
5244404142032
622300432330
73423233460
oct1055440736
9335023680
10146162142
1175560865
1240b486a6
1324387099
14155aa130
15cc7247c
hex8b641de

146162142 has 48 divisors (see below), whose sum is σ = 363292800. Its totient is φ = 41602896.

The previous prime is 146162129. The next prime is 146162147. The reversal of 146162142 is 241261641.

146162142 is a `hidden beast` number, since 1 + 4 + 616 + 2 + 1 + 42 = 666.

146162142 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 (146162147) 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, 33609 + ... + 37707.

It is an arithmetic number, because the mean of its divisors is an integer number (7568600).

Almost surely, 2146162142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146162142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181646400).

146162142 is an abundant number, since it is smaller than the sum of its proper divisors (217130658).

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

146162142 is a wasteful number, since it uses less digits than its factorization.

146162142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4394 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 146162142 is about 12089.7535955039. The cubic root of 146162142 is about 526.7585978674.

The spelling of 146162142 in words is "one hundred forty-six million, one hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 566 849 1698 1981 2547 3962 4099 5094 5943 8198 11886 12297 17829 24594 28693 35658 36891 57386 73782 86079 172158 258237 516474 1160017 2320034 3480051 6960102 8120119 10440153 16240238 20880306 24360357 48720714 73081071 146162142