Search a number
-
+
95160100 = 22527672029
BaseRepresentation
bin1011010110000…
…00011100100100
320122001122010011
411223000130210
5143330110400
613235340004
72233563460
oct553003444
9218048104
1095160100
1149796212
1227a51604
131693a869
14c8d14a0
15854a8ba
hex5ac0724

95160100 has 72 divisors (see below), whose sum is σ = 239637440. Its totient is φ = 32123520.

The previous prime is 95160089. The next prime is 95160119. The reversal of 95160100 is 106159.

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 23 ways as a sum of consecutive naturals, for example, 45886 + ... + 47914.

Almost surely, 295160100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119818720).

95160100 is an abundant number, since it is smaller than the sum of its proper divisors (144477340).

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

95160100 is a wasteful number, since it uses less digits than its factorization.

95160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 95160100 is about 9755.0038441817. The cubic root of 95160100 is about 456.5464427396.

Adding to 95160100 its reverse (106159), we get a palindrome (95266259).

The spelling of 95160100 in words is "ninety-five million, one hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2029 2345 3350 4058 4690 6700 8116 9380 10145 11725 14203 20290 23450 28406 40580 46900 50725 56812 71015 101450 135943 142030 202900 271886 284060 355075 543772 679715 710150 951601 1359430 1420300 1903202 2718860 3398575 3806404 4758005 6797150 9516010 13594300 19032020 23790025 47580050 95160100