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160230042 = 2337616949
BaseRepresentation
bin10011000110011…
…10101010011010
3102011111112022000
421203032222122
5312004330132
623522141430
73653634660
oct1143165232
9364445260
10160230042
118249a225
12457b1876
132727139b
14173ccc30
15e10087c
hex98cea9a

160230042 has 64 divisors (see below), whose sum is σ = 413664000. Its totient is φ = 45023040.

The previous prime is 160230019. The next prime is 160230043. The reversal of 160230042 is 240032061.

It is a happy number.

160230042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 160229997 and 160230024.

It is not an unprimeable number, because it can be changed into a prime (160230043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19584 + ... + 26532.

It is an arithmetic number, because the mean of its divisors is an integer number (6463500).

Almost surely, 2160230042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206832000).

160230042 is an abundant number, since it is smaller than the sum of its proper divisors (253433958).

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

160230042 is a wasteful number, since it uses less digits than its factorization.

160230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 160230042 is about 12658.2005830213. The cubic root of 160230042 is about 543.1435779171.

The spelling of 160230042 in words is "one hundred sixty million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 6949 7686 11529 13898 20847 23058 41694 48643 62541 97286 125082 145929 187623 291858 375246 423889 437787 847778 875574 1271667 1313361 2543334 2626722 2967223 3815001 5934446 7630002 8901669 11445003 17803338 22890006 26705007 53410014 80115021 160230042