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1119006252 = 22367134217
BaseRepresentation
bin100001010110010…
…1010111000101100
32212222121102000000
41002230222320230
54242431200002
6303012104300
736505252620
oct10254527054
92788542000
101119006252
11524716a61
12272905090
1314aaa69a0
14a8889180
156838c61c
hex42b2ae2c

1119006252 has 168 divisors, whose sum is σ = 3614454816. Its totient is φ = 295052544.

The previous prime is 1119006233. The next prime is 1119006289. The reversal of 1119006252 is 2526009111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 263248 + ... + 267464.

It is an arithmetic number, because the mean of its divisors is an integer number (21514612).

Almost surely, 21119006252 is an apocalyptic number.

1119006252 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 1119006252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807227408).

1119006252 is an abundant number, since it is smaller than the sum of its proper divisors (2495448564).

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

1119006252 is a wasteful number, since it uses less digits than its factorization.

1119006252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1119006252 is about 33451.5508160683. The cubic root of 1119006252 is about 1038.1915848045.

The spelling of 1119006252 in words is "one billion, one hundred nineteen million, six thousand, two hundred fifty-two".