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1600160004 = 22325921132
BaseRepresentation
bin101111101100000…
…1000000100000100
311010111222112212100
41133120020010010
511234120110004
6422440552100
754440064342
oct13730100404
94114875770
101600160004
11751280993
12387a82630
131c6690851
14112736992
1595731739
hex5f608104

1600160004 has 81 divisors (see below), whose sum is σ = 4151301973. Its totient is φ = 519705984.

The previous prime is 1600159987. The next prime is 1600160017. The reversal of 1600160004 is 4000610061.

The square root of 1600160004 is 40002.

It is a perfect power (a square), and thus also a powerful number.

1600160004 is a `hidden beast` number, since 1 + 60 + 0 + 1 + 600 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28196100 + 1571963904 = 5310^2 + 39648^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14160652 + ... + 14160764.

Almost surely, 21600160004 is an apocalyptic number.

1600160004 is the 40002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600160004

1600160004 is an abundant number, since it is smaller than the sum of its proper divisors (2551141969).

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

1600160004 is a wasteful number, since it uses less digits than its factorization.

1600160004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1600160004 is about 1169.6460818634.

Multiplying 1600160004 by its product of nonzero digits (144), we get a square (230423040576 = 4800242).

Adding to 1600160004 its reverse (4000610061), we get a palindrome (5600770065).

It can be divided in two parts, 1600 and 160004, that added together give a square (161604 = 4022).

The spelling of 1600160004 in words is "one billion, six hundred million, one hundred sixty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 113 118 177 226 236 339 354 452 531 678 708 1017 1062 1356 2034 2124 3481 4068 6667 6962 10443 12769 13334 13924 20001 20886 25538 26668 31329 38307 40002 41772 51076 60003 62658 76614 80004 114921 120006 125316 153228 229842 240012 393353 459684 753371 786706 1180059 1506742 1573412 2260113 2360118 3013484 3540177 4520226 4720236 6780339 7080354 9040452 13560678 14160708 27121356 44448889 88897778 133346667 177795556 266693334 400040001 533386668 800080002 1600160004