[go: up one dir, main page]

Search a number
-
+
190920 = 23353743
BaseRepresentation
bin101110100111001000
3100200220010
4232213020
522102140
64031520
71423422
oct564710
9320803
10190920
11120494
12925a0
1368b92
144d812
153b880
hex2e9c8

190920 has 64 divisors (see below), whose sum is σ = 601920. Its totient is φ = 48384.

The previous prime is 190913. The next prime is 190921. The reversal of 190920 is 29091.

It is a happy number.

190920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190921) 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, 4419 + ... + 4461.

It is an arithmetic number, because the mean of its divisors is an integer number (9405).

2190920 is an apocalyptic number.

190920 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 190920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300960).

190920 is an abundant number, since it is smaller than the sum of its proper divisors (411000).

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

190920 is a wasteful number, since it uses less digits than its factorization.

190920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 190920 is about 436.9439323300. The cubic root of 190920 is about 57.5816106420.

The spelling of 190920 in words is "one hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 43 60 74 86 111 120 129 148 172 185 215 222 258 296 344 370 430 444 516 555 645 740 860 888 1032 1110 1290 1480 1591 1720 2220 2580 3182 4440 4773 5160 6364 7955 9546 12728 15910 19092 23865 31820 38184 47730 63640 95460 190920