Search a number
-
+
1126322496 = 263713619
BaseRepresentation
bin100001100100010…
…0101000101000000
32220111101010000000
41003020211011000
54301314304441
6303433000000
736624404025
oct10310450500
92814333000
101126322496
11528863842
12275253000
1314c468b20
14a983154c
1568d352b6
hex43225140

1126322496 has 224 divisors, whose sum is σ = 3615740800. Its totient is φ = 346000896.

The previous prime is 1126322459. The next prime is 1126322537. The reversal of 1126322496 is 6942236211.

It is a happy number.

1126322496 is a `hidden beast` number, since 1 + 12 + 632 + 2 + 4 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1126322496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819275 + ... + 1819893.

It is an arithmetic number, because the mean of its divisors is an integer number (16141700).

Almost surely, 21126322496 is an apocalyptic number.

1126322496 is a gapful number since it is divisible by the number (16) 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 1126322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807870400).

1126322496 is an abundant number, since it is smaller than the sum of its proper divisors (2489418304).

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

1126322496 is an frugal number, since it uses more digits than its factorization.

1126322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 637 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1126322496 is about 33560.7284783868. The cubic root of 1126322496 is about 1040.4492930513.

The spelling of 1126322496 in words is "one billion, one hundred twenty-six million, three hundred twenty-two thousand, four hundred ninety-six".