Search a number
-
+
96660720 = 243251323449
BaseRepresentation
bin1011100001011…
…10110011110000
320201212212120200
411300232303300
5144221120340
613331435200
72252413452
oct560566360
9221785520
1096660720
114a6206a2
1228455b00
13170448c0
14cba22d2
158745330
hex5c2ecf0

96660720 has 240 divisors, whose sum is σ = 365601600. Its totient is φ = 22708224.

The previous prime is 96660719. The next prime is 96660727. The reversal of 96660720 is 2706669.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96660727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215056 + ... + 215504.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 296660720 is an apocalyptic number.

96660720 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 96660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

96660720 is an abundant number, since it is smaller than the sum of its proper divisors (268940880).

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

96660720 is a wasteful number, since it uses less digits than its factorization.

96660720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 96660720 is about 9831.6183815280. The cubic root of 96660720 is about 458.9337623529.

The spelling of 96660720 in words is "ninety-six million, six hundred sixty thousand, seven hundred twenty".