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1078669152 = 2532112959199
BaseRepresentation
bin100000001001011…
…0010111101100000
32210011201001220100
41000102302331200
54202114403102
6255011342400
735505352011
oct10022627540
92704631810
101078669152
11503976110
122612b1a00
13142622892
14a3389008
1564a70a1c
hex404b2f60

1078669152 has 288 divisors, whose sum is σ = 3538080000. Its totient is φ = 308689920.

The previous prime is 1078669127. The next prime is 1078669183. The reversal of 1078669152 is 2519668701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1078669098 and 1078669107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5420349 + ... + 5420547.

It is an arithmetic number, because the mean of its divisors is an integer number (12285000).

Almost surely, 21078669152 is an apocalyptic number.

1078669152 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 1078669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040000).

1078669152 is an abundant number, since it is smaller than the sum of its proper divisors (2459410848).

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

1078669152 is a wasteful number, since it uses less digits than its factorization.

1078669152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1078669152 is about 32843.0990011600. The cubic root of 1078669152 is about 1025.5639655110.

The spelling of 1078669152 in words is "one billion, seventy-eight million, six hundred sixty-nine thousand, one hundred fifty-two".