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320053136 = 241310314939
BaseRepresentation
bin10011000100111…
…001111110010000
3211022020101100212
4103010321332100
51123413200021
651431503252
710634256344
oct2304717620
9738211325
10320053136
11154730727
128b227b28
13513cc470
1430713624
151d17085b
hex13139f90

320053136 has 40 divisors (see below), whose sum is σ = 674331840. Its totient is φ = 146272896.

The previous prime is 320053133. The next prime is 320053147. The reversal of 320053136 is 631350023.

320053136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (320053133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13955 + ... + 28893.

It is an arithmetic number, because the mean of its divisors is an integer number (16858296).

Almost surely, 2320053136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337165920).

320053136 is an abundant number, since it is smaller than the sum of its proper divisors (354278704).

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

320053136 is a wasteful number, since it uses less digits than its factorization.

320053136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15063 (or 15057 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 320053136 is about 17890.0289546999. The cubic root of 320053136 is about 684.0282354428.

The spelling of 320053136 in words is "three hundred twenty million, fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 824 1339 1648 2678 5356 10712 14939 21424 29878 59756 119512 194207 239024 388414 776828 1538717 1553656 3077434 3107312 6154868 12309736 20003321 24619472 40006642 80013284 160026568 320053136