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1123140480 = 273571171107
BaseRepresentation
bin100001011110001…
…1100001110000000
32220021101110002120
41002330130032000
54300010443410
6303240444240
736555352020
oct10274341600
92807343076
101123140480
11526a90080
12274179680
1314b8c3687
14a9243a80
1568907570
hex42f1c380

1123140480 has 512 divisors, whose sum is σ = 4568555520. Its totient is φ = 227942400.

The previous prime is 1123140467. The next prime is 1123140527. The reversal of 1123140480 is 840413211.

It is a super-2 number, since 2×11231404802 = 2522889075629260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1123140480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10496587 + ... + 10496693.

It is an arithmetic number, because the mean of its divisors is an integer number (8922960).

Almost surely, 21123140480 is an apocalyptic number.

1123140480 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 1123140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284277760).

1123140480 is an abundant number, since it is smaller than the sum of its proper divisors (3445415040).

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

1123140480 is a wasteful number, since it uses less digits than its factorization.

1123140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1123140480 is about 33513.2881108375. The cubic root of 1123140480 is about 1039.4685647772.

Adding to 1123140480 its reverse (840413211), we get a palindrome (1963553691).

The spelling of 1123140480 in words is "one billion, one hundred twenty-three million, one hundred forty thousand, four hundred eighty".