Search a number
-
+
10197096 = 23372132329
BaseRepresentation
bin100110111001…
…100001101000
3201012001210020
4212321201220
510102301341
61002320440
7152450100
oct46714150
921161706
1010197096
115835258
1234b9120
1321604b0
1414d6200
15d66566
hex9b9868

10197096 has 192 divisors, whose sum is σ = 34473600. Its totient is φ = 2483712.

The previous prime is 10197079. The next prime is 10197097. The reversal of 10197096 is 69079101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197097) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 351610 + ... + 351638.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 210197096 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 10197096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

10197096 is an abundant number, since it is smaller than the sum of its proper divisors (24276504).

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

10197096 is a wasteful number, since it uses less digits than its factorization.

10197096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The square root of 10197096 is about 3193.2892133347. The cubic root of 10197096 is about 216.8497051559.

The spelling of 10197096 in words is "ten million, one hundred ninety-seven thousand, ninety-six".