Search a number
-
+
96329520 = 24335723277
BaseRepresentation
bin1011011110111…
…01111100110000
320201021001021000
411233131330300
5144130021040
613320402000
72246534040
oct557357460
9221231230
1096329520
114a414881
1228316300
1316c59c21
14cb17720
1586cc130
hex5bddf30

96329520 has 320 divisors, whose sum is σ = 397117440. Its totient is φ = 20984832.

The previous prime is 96329509. The next prime is 96329579. The reversal of 96329520 is 2592369.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347622 + ... + 347898.

It is an arithmetic number, because the mean of its divisors is an integer number (1240992).

Almost surely, 296329520 is an apocalyptic number.

96329520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96329520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198558720).

96329520 is an abundant number, since it is smaller than the sum of its proper divisors (300787920).

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

96329520 is a wasteful number, since it uses less digits than its factorization.

96329520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 96329520 is about 9814.7603129165. The cubic root of 96329520 is about 458.4089962874.

The spelling of 96329520 in words is "ninety-six million, three hundred twenty-nine thousand, five hundred twenty".