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5160402020 = 2251728154013
BaseRepresentation
bin1001100111001010…
…10111110001100100
3111022122012120202202
410303211113301210
541032030331040
62212021154032
7241610456564
oct46345276144
914278176682
105160402020
112208a04464
12100025b918
13643160327
1436d4d6da4
1520308d015
hex133957c64

5160402020 has 48 divisors (see below), whose sum is σ = 11515352688. Its totient is φ = 1935790080.

The previous prime is 5160402001. The next prime is 5160402041. The reversal of 5160402020 is 202040615.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30118144 + 5130283876 = 5488^2 + 71626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5160401983 and 5160402001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68534 + ... + 122546.

It is an arithmetic number, because the mean of its divisors is an integer number (239903181).

Almost surely, 25160402020 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 5160402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757676344).

5160402020 is an abundant number, since it is smaller than the sum of its proper divisors (6354950668).

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

5160402020 is a wasteful number, since it uses less digits than its factorization.

5160402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54320 (or 54318 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5160402020 is about 71835.9382203643. The cubic root of 5160402020 is about 1728.0693956649.

Adding to 5160402020 its reverse (202040615), we get a palindrome (5362442635).

The spelling of 5160402020 in words is "five billion, one hundred sixty million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 281 340 562 1124 1405 2810 4777 5620 9554 19108 23885 47770 54013 95540 108026 216052 270065 540130 918221 1080260 1836442 3672884 4591105 9182210 15177653 18364420 30355306 60710612 75888265 151776530 258020101 303553060 516040202 1032080404 1290100505 2580201010 5160402020