Search a number
-
+
35015004020 = 2253747317573
BaseRepresentation
bin100000100111000011…
…101000111101110100
310100101020220111120202
4200213003220331310
51033202320112040
624030301020032
72346463423553
oct404703507564
9110336814522
1035015004020
1113939069857
126952554618
1333c03780b9
1419a24d3d9a
15d9e046015
hex8270e8f74

35015004020 has 24 divisors (see below), whose sum is σ = 75518848104. Its totient is φ = 13627460736.

The previous prime is 35015003987. The next prime is 35015004071. The reversal of 35015004020 is 2040051053.

It can be written as a sum of positive squares in 4 ways, for example, as 4832196196 + 30182807824 = 69514^2 + 173732^2 .

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 = 35015003983 and 35015004001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23658047 + ... + 23659526.

It is an arithmetic number, because the mean of its divisors is an integer number (3146618671).

Almost surely, 235015004020 is an apocalyptic number.

It is an amenable number.

35015004020 is an abundant number, since it is smaller than the sum of its proper divisors (40503844084).

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

35015004020 is a wasteful number, since it uses less digits than its factorization.

35015004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47317619 (or 47317617 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 35015004020 its reverse (2040051053), we get a palindrome (37055055073).

The spelling of 35015004020 in words is "thirty-five billion, fifteen million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 47317573 94635146 189270292 236587865 473175730 946351460 1750750201 3501500402 7003000804 8753751005 17507502010 35015004020