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160820442 = 232173731409
BaseRepresentation
bin10011001010111…
…10110011011010
3102012121112011200
421211132303122
5312132223232
623542535030
73661644156
oct1145366332
9365545150
10160820442
1182862862
1245a37476
132741a033
1417504066
15e1ba77c
hex995ecda

160820442 has 48 divisors (see below), whose sum is σ = 370192680. Its totient is φ = 50282496.

The previous prime is 160820431. The next prime is 160820449. The reversal of 160820442 is 244028061.

It can be written as a sum of positive squares in 4 ways, for example, as 115541001 + 45279441 = 10749^2 + 6729^2 .

It is not an unprimeable number, because it can be changed into a prime (160820449) 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, 113434 + ... + 114842.

Almost surely, 2160820442 is an apocalyptic number.

It is a pronic number, being equal to 12681×12682.

It is a practical number, because each smaller number is the sum of distinct divisors of 160820442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185096340).

160820442 is an abundant number, since it is smaller than the sum of its proper divisors (209372238).

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

160820442 is a wasteful number, since it uses less digits than its factorization.

160820442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 160820442 is about 12681.4999901431. The cubic root of 160820442 is about 543.8098676849.

The spelling of 160820442 in words is "one hundred sixty million, eight hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 373 746 1119 1409 2238 2818 3357 4227 6341 6714 8454 12681 12682 19023 23953 25362 38046 47906 57069 71859 114138 143718 215577 431154 525557 1051114 1576671 3153342 4730013 8934469 9460026 17868938 26803407 53606814 80410221 160820442