Search a number
-
+
190548 = 22326779
BaseRepresentation
bin101110100001010100
3100200101100
4232201110
522044143
64030100
71422351
oct564124
9320340
10190548
11120186
1292330
1368967
144d628
153b6d3
hex2e854

190548 has 36 divisors (see below), whose sum is σ = 495040. Its totient is φ = 61776.

The previous prime is 190543. The next prime is 190573. The reversal of 190548 is 845091.

It is a tau number, because it is divible by the number of its divisors (36).

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 190548.

It is not an unprimeable number, because it can be changed into a prime (190543) by changing a digit.

190548 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 11 ways as a sum of consecutive naturals, for example, 2373 + ... + 2451.

2190548 is an apocalyptic number.

190548 is a gapful number since it is divisible by the number (18) 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 190548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247520).

190548 is an abundant number, since it is smaller than the sum of its proper divisors (304492).

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

190548 is a wasteful number, since it uses less digits than its factorization.

190548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 190548 is about 436.5180408643. The cubic root of 190548 is about 57.5441878358.

It can be divided in two parts, 1905 and 48, that added together give a triangular number (1953 = T62).

The spelling of 190548 in words is "one hundred ninety thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 79 134 158 201 237 268 316 402 474 603 711 804 948 1206 1422 2412 2844 5293 10586 15879 21172 31758 47637 63516 95274 190548