Search a number
-
+
1920192 = 26373137
BaseRepresentation
bin111010100110011000000
310121120000020
413110303000
5442421232
6105053440
722215141
oct7246300
93546006
101920192
1110a173a
12787280
13523011
1437dac8
1527de2c
hex1d4cc0

1920192 has 56 divisors (see below), whose sum is σ = 5187696. Its totient is φ = 626688.

The previous prime is 1920187. The next prime is 1920199. The reversal of 1920192 is 2910291.

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

It is not an unprimeable number, because it can be changed into a prime (1920199) 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, 13948 + ... + 14084.

21920192 is an apocalyptic number.

1920192 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 1920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593848).

1920192 is an abundant number, since it is smaller than the sum of its proper divisors (3267504).

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

1920192 is a wasteful number, since it uses less digits than its factorization.

1920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1920192 is about 1385.7099263554. The cubic root of 1920192 is about 124.2934430767.

1920192 divided by its sum of digits (24) gives a palindrome (80008).

Subtracting 1920192 from its reverse (2910291), we obtain a palindrome (990099).

It can be divided in two parts, 1920 and 192, that added together give a palindrome (2112).

The spelling of 1920192 in words is "one million, nine hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 137 146 192 219 274 292 411 438 548 584 822 876 1096 1168 1644 1752 2192 2336 3288 3504 4384 4672 6576 7008 8768 10001 13152 14016 20002 26304 30003 40004 60006 80008 120012 160016 240024 320032 480048 640064 960096 1920192