Search a number
-
+
1122815440 = 24518017793
BaseRepresentation
bin100001011101100…
…1100110111010000
32220020202221020001
41002323030313100
54244420043230
6303225455344
736552526255
oct10273146720
92806687201
101122815440
1152688894a
12274041554
1314b80b746
14a919b42c
15688910ca
hex42eccdd0

1122815440 has 40 divisors (see below), whose sum is σ = 2612330568. Its totient is φ = 448819200.

The previous prime is 1122815437. The next prime is 1122815453. The reversal of 1122815440 is 445182211.

It can be written as a sum of positive squares in 4 ways, for example, as 192321424 + 930494016 = 13868^2 + 30504^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1122815399 and 1122815408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140184 + ... + 147976.

Almost surely, 21122815440 is an apocalyptic number.

1122815440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122815440 is an abundant number, since it is smaller than the sum of its proper divisors (1489515128).

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

1122815440 is a wasteful number, since it uses less digits than its factorization.

1122815440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9601 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1122815440 is about 33508.4383402151. The cubic root of 1122815440 is about 1039.3682800646.

Adding to 1122815440 its reverse (445182211), we get a palindrome (1567997651).

The spelling of 1122815440 in words is "one billion, one hundred twenty-two million, eight hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1801 3602 7204 7793 9005 14408 15586 18010 28816 31172 36020 38965 62344 72040 77930 124688 144080 155860 311720 623440 14035193 28070386 56140772 70175965 112281544 140351930 224563088 280703860 561407720 1122815440