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195460 = 22529337
BaseRepresentation
bin101111101110000100
3100221010021
4233232010
522223320
64104524
71442566
oct575604
9327107
10195460
11123941
1295144
136ac75
1451336
153cdaa
hex2fb84

195460 has 24 divisors (see below), whose sum is σ = 425880. Its totient is φ = 75264.

The previous prime is 195457. The next prime is 195469. The reversal of 195460 is 64591.

It can be written as a sum of positive squares in 4 ways, for example, as 8836 + 186624 = 94^2 + 432^2 .

It is a super-2 number, since 2×1954602 = 76409223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195469) 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, 412 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2195460 is an apocalyptic number.

195460 is a gapful number since it is divisible by the number (10) 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 195460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940).

195460 is an abundant number, since it is smaller than the sum of its proper divisors (230420).

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

195460 is a wasteful number, since it uses less digits than its factorization.

195460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

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

The square root of 195460 is about 442.1085839474. The cubic root of 195460 is about 58.0344622779.

It can be divided in two parts, 19 and 5460, that multiplied together give a triangular number (103740 = T455).

The spelling of 195460 in words is "one hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 337 580 674 1348 1685 3370 6740 9773 19546 39092 48865 97730 195460