Search a number
-
+
95660568 = 23331074139
BaseRepresentation
bin1011011001110…
…10101000011000
320200000001122000
411230322220120
5143442114233
613254201000
72241046533
oct554725030
9220001560
1095660568
1149aa8223
1228053160
1316a845b3
14c9c1a1a
1585e8d13
hex5b3aa18

95660568 has 64 divisors (see below), whose sum is σ = 268272000. Its totient is φ = 31581216.

The previous prime is 95660567. The next prime is 95660597. The reversal of 95660568 is 86506659.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95660567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21043 + ... + 25181.

It is an arithmetic number, because the mean of its divisors is an integer number (4191750).

Almost surely, 295660568 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 95660568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134136000).

95660568 is an abundant number, since it is smaller than the sum of its proper divisors (172611432).

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

95660568 is a wasteful number, since it uses less digits than its factorization.

95660568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 95660568 is about 9780.6220661060. The cubic root of 95660568 is about 457.3454032878.

The spelling of 95660568 in words is "ninety-five million, six hundred sixty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 4139 5778 7704 8278 11556 12417 16556 23112 24834 33112 37251 49668 74502 99336 111753 149004 223506 298008 442873 447012 885746 894024 1328619 1771492 2657238 3542984 3985857 5314476 7971714 10628952 11957571 15943428 23915142 31886856 47830284 95660568