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1020314160 = 2432517312689
BaseRepresentation
bin111100110100001…
…100001000110000
32122002220022220100
4330310030020300
54042200023120
6245124512400
734166345565
oct7464141060
92562808810
101020314160
11483a39148
1224584b700
131335005b8
149971886c
155e895490
hex3cd0c230

1020314160 has 240 divisors, whose sum is σ = 3746545920. Its totient is φ = 247726080.

The previous prime is 1020314159. The next prime is 1020314171. The reversal of 1020314160 is 614130201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 378096 + ... + 380784.

It is an arithmetic number, because the mean of its divisors is an integer number (15610608).

Almost surely, 21020314160 is an apocalyptic number.

1020314160 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 1020314160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873272960).

1020314160 is an abundant number, since it is smaller than the sum of its proper divisors (2726231760).

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

1020314160 is a wasteful number, since it uses less digits than its factorization.

1020314160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1020314160 is about 31942.3568322690. The cubic root of 1020314160 is about 1006.7260455499.

Adding to 1020314160 its reverse (614130201), we get a palindrome (1634444361).

The spelling of 1020314160 in words is "one billion, twenty million, three hundred fourteen thousand, one hundred sixty".