Search a number
-
+
96325920 = 25325151443
BaseRepresentation
bin1011011110111…
…01000100100000
320201020212022200
411233131010200
5144124412140
613320333200
72246520405
oct557350440
9221225280
1096325920
114a4120a9
1228314200
1316c583b2
14cb162ac
1586cb030
hex5bdd120

96325920 has 144 divisors (see below), whose sum is σ = 331636032. Its totient is φ = 25459200.

The previous prime is 96325841. The next prime is 96325939. The reversal of 96325920 is 2952369.

96325920 is a `hidden beast` number, since 9 + 63 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217219 + ... + 217661.

It is an arithmetic number, because the mean of its divisors is an integer number (2303028).

Almost surely, 296325920 is an apocalyptic number.

96325920 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 96325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165818016).

96325920 is an abundant number, since it is smaller than the sum of its proper divisors (235310112).

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

96325920 is a wasteful number, since it uses less digits than its factorization.

96325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

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

The square root of 96325920 is about 9814.5769139581. The cubic root of 96325920 is about 458.4032857051.

The spelling of 96325920 in words is "ninety-six million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 151 160 180 240 288 302 360 443 453 480 604 720 755 886 906 1208 1329 1359 1440 1510 1772 1812 2215 2265 2416 2658 2718 3020 3544 3624 3987 4430 4530 4832 5316 5436 6040 6645 6795 7088 7248 7974 8860 9060 10632 10872 12080 13290 13590 14176 14496 15948 17720 18120 19935 21264 21744 24160 26580 27180 31896 35440 36240 39870 42528 43488 53160 54360 63792 66893 70880 72480 79740 106320 108720 127584 133786 159480 200679 212640 217440 267572 318960 334465 401358 535144 602037 637920 668930 802716 1003395 1070288 1204074 1337860 1605432 2006790 2140576 2408148 2675720 3010185 3210864 4013580 4816296 5351440 6020370 6421728 8027160 9632592 10702880 12040740 16054320 19265184 24081480 32108640 48162960 96325920