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1123168032 = 25347103601
BaseRepresentation
bin100001011110010…
…0010111100100000
32220021102211220000
41002330202330200
54300012334112
6303241220000
736555525240
oct10274427440
92807384800
101123168032
11526aa9848
12274191600
1314b90308c
14a924db20
15689107dc
hex42f22f20

1123168032 has 240 divisors, whose sum is σ = 3818086272. Its totient is φ = 317260800.

The previous prime is 1123168027. The next prime is 1123168069. The reversal of 1123168032 is 2308613211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1123167987 and 1123168005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1868532 + ... + 1869132.

Almost surely, 21123168032 is an apocalyptic number.

1123168032 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 1123168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909043136).

1123168032 is an abundant number, since it is smaller than the sum of its proper divisors (2694918240).

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

1123168032 is a wasteful number, since it uses less digits than its factorization.

1123168032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1123168032 is about 33513.6991691457. The cubic root of 1123168032 is about 1039.4770645165.

The spelling of 1123168032 in words is "one billion, one hundred twenty-three million, one hundred sixty-eight thousand, thirty-two".