Search a number
-
+
92370096 = 243272131953
BaseRepresentation
bin1011000000101…
…11010010110000
320102210212221200
411200113102300
5142121320341
613055451200
72201063400
oct540272260
9212725850
1092370096
1148160025
1226b26b00
13161a1980
14c3a6800
158198db6
hex58174b0

92370096 has 360 divisors, whose sum is σ = 347321520. Its totient is φ = 22643712.

The previous prime is 92370073. The next prime is 92370107. The reversal of 92370096 is 69007329.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92370096.

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 71 ways as a sum of consecutive naturals, for example, 1742806 + ... + 1742858.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 292370096 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 92370096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

92370096 is an abundant number, since it is smaller than the sum of its proper divisors (254951424).

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

92370096 is a wasteful number, since it uses less digits than its factorization.

92370096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 92370096 is about 9610.9362707283. The cubic root of 92370096 is about 452.0402762554.

The spelling of 92370096 in words is "ninety-two million, three hundred seventy thousand, ninety-six".