Search a number
-
+
1157839380 = 223354015347
BaseRepresentation
bin100010100000011…
…0011101000010100
32222200200100001000
41011000303220110
54332401330010
6310520303300
740456321005
oct10500635024
92880610030
101157839380
1154462a955
12283911b30
13155b52379
14adab71ac
156b9ad7c0
hex45033a14

1157839380 has 96 divisors (see below), whose sum is σ = 3611825280. Its totient is φ = 307929600.

The previous prime is 1157839363. The next prime is 1157839391. The reversal of 1157839380 is 839387511.

1157839380 is a `hidden beast` number, since 11 + 578 + 39 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213867 + ... + 219213.

It is an arithmetic number, because the mean of its divisors is an integer number (37623180).

Almost surely, 21157839380 is an apocalyptic number.

1157839380 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 1157839380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805912640).

1157839380 is an abundant number, since it is smaller than the sum of its proper divisors (2453985900).

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

1157839380 is a wasteful number, since it uses less digits than its factorization.

1157839380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1157839380 is about 34027.0389543375. The cubic root of 1157839380 is about 1050.0648123258.

The spelling of 1157839380 in words is "one billion, one hundred fifty-seven million, eight hundred thirty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 401 540 802 1203 1604 2005 2406 3609 4010 4812 5347 6015 7218 8020 10694 10827 12030 14436 16041 18045 21388 21654 24060 26735 32082 36090 43308 48123 53470 54135 64164 72180 80205 96246 106940 108270 144369 160410 192492 216540 240615 288738 320820 481230 577476 721845 962460 1443690 2144147 2887380 4288294 6432441 8576588 10720735 12864882 19297323 21441470 25729764 32162205 38594646 42882940 57891969 64324410 77189292 96486615 115783938 128648820 192973230 231567876 289459845 385946460 578919690 1157839380