Search a number
-
+
35690010240 = 273547675903
BaseRepresentation
bin100001001111010010…
…100101011010000000
310102010022001101001010
4201033102211122000
51041043120311430
624221252440520
72402301036663
oct411722453200
9112108041033
1035690010240
1114155097a35
126b00619140
13349a176071
141a280036da
15ddd42ccb0
hex84f4a5680

35690010240 has 256 divisors, whose sum is σ = 117936414720. Its totient is φ = 9174257664.

The previous prime is 35690010233. The next prime is 35690010253. The reversal of 35690010240 is 4201009653.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35690010198 and 35690010207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6043129 + ... + 6049031.

It is an arithmetic number, because the mean of its divisors is an integer number (460689120).

Almost surely, 235690010240 is an apocalyptic number.

35690010240 is a gapful number since it is divisible by the number (30) 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 35690010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968207360).

35690010240 is an abundant number, since it is smaller than the sum of its proper divisors (82246404480).

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

35690010240 is a wasteful number, since it uses less digits than its factorization.

35690010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 35690010240 its reverse (4201009653), we get a palindrome (39891019893).

The spelling of 35690010240 in words is "thirty-five billion, six hundred ninety million, ten thousand, two hundred forty".