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95540 = 22517281
BaseRepresentation
bin10111010100110100
311212001112
4113110310
511024130
62014152
7545354
oct272464
9155045
1095540
1165865
1247358
1334643
1426b64
151d495
hex17534

95540 has 24 divisors (see below), whose sum is σ = 213192. Its totient is φ = 35840.

The previous prime is 95539. The next prime is 95549. The reversal of 95540 is 4559.

95540 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 68644 = 164^2 + 262^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95540.

It is not an unprimeable number, because it can be changed into a prime (95549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (8883).

295540 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 95540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106596).

95540 is an abundant number, since it is smaller than the sum of its proper divisors (117652).

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

95540 is a wasteful number, since it uses less digits than its factorization.

95540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 95540 is about 309.0954545120. The cubic root of 95540 is about 45.7153180570.

The spelling of 95540 in words is "ninety-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 281 340 562 1124 1405 2810 4777 5620 9554 19108 23885 47770 95540