Search a number
-
+
1191920 = 24547317
BaseRepresentation
bin100100010111111110000
32020120000012
410202333300
5301120140
641314052
713062662
oct4427760
92216005
101191920
11744564
12495928
133296a2
14230532
15188265
hex122ff0

1191920 has 40 divisors (see below), whose sum is σ = 2839104. Its totient is φ = 465152.

The previous prime is 1191899. The next prime is 1191923. The reversal of 1191920 is 291911.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3602 + ... + 3918.

21191920 is an apocalyptic number.

1191920 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 1191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419552).

1191920 is an abundant number, since it is smaller than the sum of its proper divisors (1647184).

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

1191920 is a wasteful number, since it uses less digits than its factorization.

1191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 1191920 is about 1091.7508873365. The cubic root of 1191920 is about 106.0268117770.

Subtracting from 1191920 its reverse (291911), we obtain a palindrome (900009).

The spelling of 1191920 in words is "one million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 317 376 470 634 752 940 1268 1585 1880 2536 3170 3760 5072 6340 12680 14899 25360 29798 59596 74495 119192 148990 238384 297980 595960 1191920