Search a number
-
+
106160004 = 22337871249
BaseRepresentation
bin1100101001111…
…01111110000100
321101202111011000
412110331332010
5204134110004
614311213300
72426226246
oct624757604
9241674130
10106160004
1154a19645
122b677230
1318cbc592
1410156096
1594bec39
hex653df84

106160004 has 48 divisors (see below), whose sum is σ = 275800000. Its totient is φ = 35313408.

The previous prime is 106160003. The next prime is 106160009. The reversal of 106160004 is 400061601.

106160004 is a `hidden beast` number, since 1 + 0 + 61 + 600 + 0 + 4 = 666.

It is a super-2 number, since 2×1061600042 = 22539892898560032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106160003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84372 + ... + 85620.

Almost surely, 2106160004 is an apocalyptic number.

It is an amenable number.

106160004 is an abundant number, since it is smaller than the sum of its proper divisors (169639996).

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

106160004 is a wasteful number, since it uses less digits than its factorization.

106160004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

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

The square root of 106160004 is about 10303.3976920237. The cubic root of 106160004 is about 473.5003547761.

The spelling of 106160004 in words is "one hundred six million, one hundred sixty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 787 1249 1574 2361 2498 3148 3747 4722 4996 7083 7494 9444 11241 14166 14988 21249 22482 28332 33723 42498 44964 67446 84996 134892 982963 1965926 2948889 3931852 5897778 8846667 11795556 17693334 26540001 35386668 53080002 106160004