Search a number
-
+
1123428096 = 28337231107
BaseRepresentation
bin100001011110110…
…0010011100000000
32220021221001122000
41002331202130000
54300044144341
6303250544000
736560660400
oct10275423400
92807831560
101123428096
1152716717a
12274298000
1314b99456b
14a92ba800
15689628b6
hex42f62700

1123428096 has 432 divisors, whose sum is σ = 4026516480. Its totient is φ = 307722240.

The previous prime is 1123428091. The next prime is 1123428109. The reversal of 1123428096 is 6908243211.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1123428096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123428091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10499275 + ... + 10499381.

It is an arithmetic number, because the mean of its divisors is an integer number (9320640).

Almost surely, 21123428096 is an apocalyptic number.

1123428096 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 1123428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013258240).

1123428096 is an abundant number, since it is smaller than the sum of its proper divisors (2903088384).

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

1123428096 is a wasteful number, since it uses less digits than its factorization.

1123428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1123428096 is about 33517.5789101779. The cubic root of 1123428096 is about 1039.5572869153.

The spelling of 1123428096 in words is "one billion, one hundred twenty-three million, four hundred twenty-eight thousand, ninety-six".