Search a number
-
+
96406200 = 23345211541
BaseRepresentation
bin1011011111100…
…00101010111000
320201101221110000
411233300222320
5144134444300
613322153000
72250303432
oct557605270
9221357400
1096406200
114a467450
1228352760
1316c85ab7
14cb37652
1586e4c00
hex5bf0ab8

96406200 has 240 divisors, whose sum is σ = 365947560. Its totient is φ = 23328000.

The previous prime is 96406199. The next prime is 96406207. The reversal of 96406200 is 260469.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96406207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177930 + ... + 178470.

Almost surely, 296406200 is an apocalyptic number.

96406200 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 96406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182973780).

96406200 is an abundant number, since it is smaller than the sum of its proper divisors (269541360).

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

96406200 is a wasteful number, since it uses less digits than its factorization.

96406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96406200 is about 9818.6658971573. The cubic root of 96406200 is about 458.5305979143.

Adding to 96406200 its reverse (260469), we get a palindrome (96666669).

The spelling of 96406200 in words is "ninety-six million, four hundred six thousand, two hundred".