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95480 = 23571131
BaseRepresentation
bin10111010011111000
311211222022
4113103320
511023410
62014012
7545240
oct272370
9154868
1095480
1165810
1247308
13345c8
1426b20
151d455
hex174f8

95480 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 28800.

The previous prime is 95479. The next prime is 95483. The reversal of 95480 is 8459.

It is a Cunningham number, because it is equal to 3092-1.

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 95480.

It is not an unprimeable number, because it can be changed into a prime (95483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3065 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

295480 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 95480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

95480 is an abundant number, since it is smaller than the sum of its proper divisors (181000).

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

95480 is a wasteful number, since it uses less digits than its factorization.

95480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 95480 is about 308.9983818728. The cubic root of 95480 is about 45.7057461727.

It can be divided in two parts, 95 and 480, that added together give a palindrome (575).

The spelling of 95480 in words is "ninety-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 217 220 248 280 308 310 341 385 434 440 616 620 682 770 868 1085 1240 1364 1540 1705 1736 2170 2387 2728 3080 3410 4340 4774 6820 8680 9548 11935 13640 19096 23870 47740 95480