Search a number
-
+
92960 = 255783
BaseRepresentation
bin10110101100100000
311201111222
4112230200
510433320
61554212
7535010
oct265440
9151458
1092960
116392a
1245968
133340a
1425c40
151c825
hex16b20

92960 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 31488.

The previous prime is 92959. The next prime is 92987. The reversal of 92960 is 6929.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

292960 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 92960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

92960 is an abundant number, since it is smaller than the sum of its proper divisors (161056).

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

92960 is a wasteful number, since it uses less digits than its factorization.

92960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 92960 is about 304.8934240026. The cubic root of 92960 is about 45.3000524668.

It can be divided in two parts, 929 and 60, that added together give a palindrome (989).

The spelling of 92960 in words is "ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1120 1162 1328 1660 2324 2656 2905 3320 4648 5810 6640 9296 11620 13280 18592 23240 46480 92960