Search a number
-
+
1121424000 = 2735361383
BaseRepresentation
bin100001011010111…
…1001001010000000
32220011011020112020
41002311321022000
54244041032000
6303140001440
736534642504
oct10265711200
92804136466
101121424000
115260184a4
12273690280
1314b4422c8
14a8d18304
15686b8ba0
hex42d79280

1121424000 has 256 divisors, whose sum is σ = 3788328960. Its totient is φ = 293376000.

The previous prime is 1121423987. The next prime is 1121424001. The reversal of 1121424000 is 4241211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1121424001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2927809 + ... + 2928191.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 21121424000 is an apocalyptic number.

1121424000 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 1121424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894164480).

1121424000 is an abundant number, since it is smaller than the sum of its proper divisors (2666904960).

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

1121424000 is an equidigital number, since it uses as much as digits as its factorization.

1121424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1121424000 is about 33487.6693724720. The cubic root of 1121424000 is about 1038.9387596629.

Adding to 1121424000 its reverse (4241211), we get a palindrome (1125665211).

The spelling of 1121424000 in words is "one billion, one hundred twenty-one million, four hundred twenty-four thousand".