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95380 = 22519251
BaseRepresentation
bin10111010010010100
311211211121
4113102110
511023010
62013324
7545035
oct272224
9154747
1095380
116572a
1247244
133454c
1426a8c
151d3da
hex17494

95380 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 36000.

The previous prime is 95369. The next prime is 95383. The reversal of 95380 is 8359.

95380 = T51 + T52 + ... + T88.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95383) by changing a digit.

95380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

295380 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 95380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

95380 is an abundant number, since it is smaller than the sum of its proper divisors (116300).

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

95380 is a wasteful number, since it uses less digits than its factorization.

95380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 95380 is about 308.8365263372. The cubic root of 95380 is about 45.6897841172.

It can be divided in two parts, 95 and 380, that multiplied together give a square (36100 = 1902).

The spelling of 95380 in words is "ninety-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 380 502 1004 1255 2510 4769 5020 9538 19076 23845 47690 95380