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295960 = 23572151
BaseRepresentation
bin1001000010000011000
3120000222111
41020100120
533432320
610202104
72341600
oct1102030
9500874
10295960
111923a5
12123334
13a4932
1479c00
155ca5a
hex48418

295960 has 48 divisors (see below), whose sum is σ = 779760. Its totient is φ = 100800.

The previous prime is 295951. The next prime is 295961. The reversal of 295960 is 69592.

295960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295961) by changing a digit.

295960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (16245).

2295960 is an apocalyptic number.

295960 is a gapful number since it is divisible by the number (20) 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 295960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389880).

295960 is an abundant number, since it is smaller than the sum of its proper divisors (483800).

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

295960 is a wasteful number, since it uses less digits than its factorization.

295960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 295960 is about 544.0220583763. The cubic root of 295960 is about 66.6414348960.

The spelling of 295960 in words is "two hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 151 196 245 280 302 392 490 604 755 980 1057 1208 1510 1960 2114 3020 4228 5285 6040 7399 8456 10570 14798 21140 29596 36995 42280 59192 73990 147980 295960