Search a number
-
+
9960100 = 2252103967
BaseRepresentation
bin100101111111…
…101010100100
3200202000200121
4211333222210
510022210400
6553251324
7150442123
oct45775244
920660617
109960100
115693197
123403b44
1320a9667
141473aba
15d1b21a
hex97faa4

9960100 has 36 divisors (see below), whose sum is σ = 21845824. Its totient is φ = 3941280.

The previous prime is 9960091. The next prime is 9960101. The reversal of 9960100 is 10699.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9960101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9817 + ... + 10783.

Almost surely, 29960100 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 9960100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922912).

9960100 is an abundant number, since it is smaller than the sum of its proper divisors (11885724).

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

9960100 is a wasteful number, since it uses less digits than its factorization.

9960100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9960100 is about 3155.9626106784. The cubic root of 9960100 is about 215.1565472444.

Adding to 9960100 its reverse (10699), we get a palindrome (9970799).

The spelling of 9960100 in words is "nine million, nine hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 967 1030 1934 2060 2575 3868 4835 5150 9670 10300 19340 24175 48350 96700 99601 199202 398404 498005 996010 1992020 2490025 4980050 9960100