Search a number
-
+
1090992820 = 225173331477
BaseRepresentation
bin100000100000111…
…0011101010110100
32211000220011210111
41001001303222310
54213243232240
6300131432404
736015200041
oct10101635264
92730804714
101090992820
1150a923065
12265455704
13145048ca8
14a4c761c8
1565ba71ea
hex41073ab4

1090992820 has 24 divisors (see below), whose sum is σ = 2292479784. Its totient is φ = 436131456.

The previous prime is 1090992817. The next prime is 1090992823. The reversal of 1090992820 is 282990901.

It is an interprime number because it is at equal distance from previous prime (1090992817) and next prime (1090992823).

It can be written as a sum of positive squares in 4 ways, for example, as 148011556 + 942981264 = 12166^2 + 30708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090992823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18922 + ... + 50398.

It is an arithmetic number, because the mean of its divisors is an integer number (95519991).

Almost surely, 21090992820 is an apocalyptic number.

1090992820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090992820 is an abundant number, since it is smaller than the sum of its proper divisors (1201486964).

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

1090992820 is a wasteful number, since it uses less digits than its factorization.

1090992820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33219 (or 33217 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 1090992820 is about 33030.1804415295. The cubic root of 1090992820 is about 1029.4548345107.

The spelling of 1090992820 in words is "one billion, ninety million, nine hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1733 3466 6932 8665 17330 31477 34660 62954 125908 157385 314770 629540 54549641 109099282 218198564 272748205 545496410 1090992820