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195072 = 293127
BaseRepresentation
bin101111101000000000
3100220120220
4233220000
522220242
64103040
71441503
oct575000
9326526
10195072
11123619
1294a80
136aa37
145113a
153cbec
hex2fa00

195072 has 40 divisors (see below), whose sum is σ = 523776. Its totient is φ = 64512.

The previous prime is 195071. The next prime is 195077. The reversal of 195072 is 270591.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195072.

It is not an unprimeable number, because it can be changed into a prime (195071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1473 + ... + 1599.

2195072 is an apocalyptic number.

195072 is a gapful number since it is divisible by the number (12) 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 195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261888).

195072 is an abundant number, since it is smaller than the sum of its proper divisors (328704).

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

195072 is an equidigital number, since it uses as much as digits as its factorization.

195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 195072 is about 441.6695597390. The cubic root of 195072 is about 57.9960361936.

195072 divided by its sum of digits (24) gives a triangular number (8128 = T127).

The spelling of 195072 in words is "one hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1524 1536 2032 3048 4064 6096 8128 12192 16256 24384 32512 48768 65024 97536 195072