Search a number
-
+
96323400 = 23325259907
BaseRepresentation
bin1011011110111…
…00011101001000
320201020201212100
411233130131020
5144124322100
613320313400
72246510145
oct557343510
9221221770
1096323400
114a410218
1228312860
1316c571c4
14cb153cc
1586ca400
hex5bdc748

96323400 has 144 divisors (see below), whose sum is σ = 329331600. Its totient is φ = 25223040.

The previous prime is 96323389. The next prime is 96323431. The reversal of 96323400 is 432369.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105747 + ... + 106653.

It is an arithmetic number, because the mean of its divisors is an integer number (2287025).

Almost surely, 296323400 is an apocalyptic number.

96323400 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 96323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164665800).

96323400 is an abundant number, since it is smaller than the sum of its proper divisors (233008200).

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

96323400 is a wasteful number, since it uses less digits than its factorization.

96323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 96323400 is about 9814.4485326482. The cubic root of 96323400 is about 458.3992882129.

Adding to 96323400 its reverse (432369), we get a palindrome (96755769).

The spelling of 96323400 in words is "ninety-six million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 59 60 72 75 90 100 118 120 150 177 180 200 225 236 295 300 354 360 450 472 531 590 600 708 885 900 907 1062 1180 1416 1475 1770 1800 1814 2124 2360 2655 2721 2950 3540 3628 4248 4425 4535 5310 5442 5900 7080 7256 8163 8850 9070 10620 10884 11800 13275 13605 16326 17700 18140 21240 21768 22675 26550 27210 32652 35400 36280 40815 45350 53100 53513 54420 65304 68025 81630 90700 106200 107026 108840 136050 160539 163260 181400 204075 214052 267565 272100 321078 326520 408150 428104 481617 535130 544200 642156 802695 816300 963234 1070260 1284312 1337825 1605390 1632600 1926468 2140520 2408085 2675650 3210780 3852936 4013475 4816170 5351300 6421560 8026950 9632340 10702600 12040425 16053900 19264680 24080850 32107800 48161700 96323400