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1168312320 = 21132571811
BaseRepresentation
bin100010110100011…
…0000100000000000
310000102101102012200
41011220300200000
54343041443240
6311532553200
740644330240
oct10550604000
93012342180
101168312320
1154a53337a
12287322800
1315807b286
14b1241b20
156c87b930
hex45a30800

1168312320 has 288 divisors, whose sum is σ = 4630167360. Its totient is φ = 266895360.

The previous prime is 1168312319. The next prime is 1168312331. The reversal of 1168312320 is 232138611.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644215 + ... + 646025.

It is an arithmetic number, because the mean of its divisors is an integer number (16076970).

Almost surely, 21168312320 is an apocalyptic number.

1168312320 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 1168312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315083680).

1168312320 is an abundant number, since it is smaller than the sum of its proper divisors (3461855040).

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

1168312320 is a wasteful number, since it uses less digits than its factorization.

1168312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1828 counting only the distinct ones).

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

The square root of 1168312320 is about 34180.5839622438. The cubic root of 1168312320 is about 1053.2213450703.

The spelling of 1168312320 in words is "one billion, one hundred sixty-eight million, three hundred twelve thousand, three hundred twenty".