Search a number
-
+
1092738240 = 2632511172029
BaseRepresentation
bin100000100100001…
…1101110011000000
32211011011212001200
41001020131303000
54214220110430
6300233101200
736036056526
oct10110356300
92734155050
101092738240
11510905460
12265b57800
1314550a599
14a51ac316
1565dee460
hex4121dcc0

1092738240 has 336 divisors, whose sum is σ = 4343582880. Its totient is φ = 249200640.

The previous prime is 1092738239. The next prime is 1092738263. The reversal of 1092738240 is 428372901.

It is a super-2 number, since 2×10927382402 = 2388153722316595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1092738195 and 1092738204.

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 47 ways as a sum of consecutive naturals, for example, 537546 + ... + 539574.

It is an arithmetic number, because the mean of its divisors is an integer number (12927330).

Almost surely, 21092738240 is an apocalyptic number.

1092738240 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 1092738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171791440).

1092738240 is an abundant number, since it is smaller than the sum of its proper divisors (3250844640).

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

1092738240 is a wasteful number, since it uses less digits than its factorization.

1092738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1092738240 is about 33056.5914758313. The cubic root of 1092738240 is about 1030.0035315806.

The spelling of 1092738240 in words is "one billion, ninety-two million, seven hundred thirty-eight thousand, two hundred forty".