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1123379712 = 29337131947
BaseRepresentation
bin100001011110101…
…0110101000000000
32220021211121021000
41002331112220000
54300041122322
6303245532000
736560366340
oct10275265000
92807747230
101123379712
11527133894
12274274000
1314b978530
14a92a6d20
15689533ac
hex42f56a00

1123379712 has 640 divisors, whose sum is σ = 4399718400. Its totient is φ = 274710528.

The previous prime is 1123379707. The next prime is 1123379713. The reversal of 1123379712 is 2179733211.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (1123379713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23901673 + ... + 23901719.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 21123379712 is an apocalyptic number.

1123379712 is a gapful number since it is divisible by the number (12) 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 1123379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1123379712 is an abundant number, since it is smaller than the sum of its proper divisors (3276338688).

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

1123379712 is a wasteful number, since it uses less digits than its factorization.

1123379712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1123379712 is about 33516.8571318971. The cubic root of 1123379712 is about 1039.5423627553.

The spelling of 1123379712 in words is "one billion, one hundred twenty-three million, three hundred seventy-nine thousand, seven hundred twelve".