Search a number
-
+
95960320 = 285611229
BaseRepresentation
bin1011011100000…
…11110100000000
320200120021210221
411232003310000
5144031212240
613304432424
72243435461
oct556036400
9220507727
1095960320
114a192455
1228178714
1316b5ab71
14ca5cd68
158657a4a
hex5b83d00

95960320 has 72 divisors (see below), whose sum is σ = 233813160. Its totient is φ = 37724160.

The previous prime is 95960303. The next prime is 95960327. The reversal of 95960320 is 2306959.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 84345856 = 3408^2 + 9184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95960327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77466 + ... + 78694.

It is an arithmetic number, because the mean of its divisors is an integer number (3247405).

Almost surely, 295960320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116906580).

95960320 is an abundant number, since it is smaller than the sum of its proper divisors (137852840).

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

95960320 is a wasteful number, since it uses less digits than its factorization.

95960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 95960320 is about 9795.9338503279. The cubic root of 95960320 is about 457.8226018536.

The spelling of 95960320 in words is "ninety-five million, nine hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1229 1280 1952 2440 2458 3904 4880 4916 6145 7808 9760 9832 12290 15616 19520 19664 24580 39040 39328 49160 74969 78080 78656 98320 149938 157312 196640 299876 314624 374845 393280 599752 749690 786560 1199504 1499380 1573120 2399008 2998760 4798016 5997520 9596032 11995040 19192064 23990080 47980160 95960320