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1141792 = 25311151
BaseRepresentation
bin100010110110000100000
32011000020121
410112300200
5243014132
640250024
712463561
oct4266040
92130217
101141792
1170a933
12470914
1330c922
1421a168
15178497
hex116c20

1141792 has 24 divisors (see below), whose sum is σ = 2322432. Its totient is φ = 552000.

The previous prime is 1141769. The next prime is 1141801. The reversal of 1141792 is 2971411.

It is a congruent number.

It is an unprimeable number.

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, 417 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

21141792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216).

1141792 is an abundant number, since it is smaller than the sum of its proper divisors (1180640).

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

1141792 is a wasteful number, since it uses less digits than its factorization.

1141792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its digits is 504, while the sum is 25.

The square root of 1141792 is about 1068.5466765659. The cubic root of 1141792 is about 104.5191009246.

The spelling of 1141792 in words is "one million, one hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1151 2302 4604 9208 18416 35681 36832 71362 142724 285448 570896 1141792