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1123455960 = 233351128597
BaseRepresentation
bin100001011110110…
…1001001111011000
32220021222110212000
41002331221033120
54300101042320
6303251321000
736561134544
oct10275511730
92807873760
101123455960
11527186100
122742b0160
1314b9a4153
14a92c6a24
156896ac90
hex42f693d8

1123455960 has 192 divisors, whose sum is σ = 4116722400. Its totient is φ = 272321280.

The previous prime is 1123455943. The next prime is 1123455961. The reversal of 1123455960 is 695543211.

1123455960 is a `hidden beast` number, since 1 + 1 + 23 + 45 + 596 + 0 = 666.

1123455960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123455961) 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, 126382 + ... + 134978.

Almost surely, 21123455960 is an apocalyptic number.

1123455960 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 1123455960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058361200).

1123455960 is an abundant number, since it is smaller than the sum of its proper divisors (2993266440).

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

1123455960 is a wasteful number, since it uses less digits than its factorization.

1123455960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1123455960 is about 33517.9945700813. The cubic root of 1123455960 is about 1039.5658814380.

The spelling of 1123455960 in words is "one billion, one hundred twenty-three million, four hundred fifty-five thousand, nine hundred sixty".