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35000010 = 23251572477
BaseRepresentation
bin1000010110000…
…0111011001010
32102212011222200
42011200323022
532430000020
63250101030
7603331563
oct205407312
972764880
1035000010
1118836031
12b87a776
137335a86
14491116a
153115590
hex2160eca

35000010 has 48 divisors (see below), whose sum is σ = 91616616. Its totient is φ = 9270144.

The previous prime is 34999969. The next prime is 35000011. The reversal of 35000010 is 1000053.

It can be written as a sum of positive squares in 4 ways, for example, as 24830289 + 10169721 = 4983^2 + 3189^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 34999956 and 35000001.

It is not an unprimeable number, because it can be changed into a prime (35000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12892 + ... + 15368.

Almost surely, 235000010 is an apocalyptic number.

35000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45808308).

35000010 is an abundant number, since it is smaller than the sum of its proper divisors (56616606).

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

35000010 is a wasteful number, since it uses less digits than its factorization.

35000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 35000010 is about 5916.0806282538. The cubic root of 35000010 is about 327.1066621719.

Adding to 35000010 its reverse (1000053), we get a palindrome (36000063).

The spelling of 35000010 in words is "thirty-five million, ten", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2477 2826 4710 4954 7065 7431 12385 14130 14862 22293 24770 37155 44586 74310 111465 222930 388889 777778 1166667 1944445 2333334 3500001 3888890 5833335 7000002 11666670 17500005 35000010