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35020 = 22517103
BaseRepresentation
bin1000100011001100
31210001001
420203030
52110040
6430044
7204046
oct104314
953031
1035020
1124347
1218324
1312c2b
14ca96
15a59a
hex88cc

35020 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 13056.

The previous prime is 34981. The next prime is 35023. The reversal of 35020 is 2053.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 34988 and 35006.

It is not an unprimeable number, because it can be changed into a prime (35023) by changing a digit.

35020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

235020 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 35020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

35020 is an abundant number, since it is smaller than the sum of its proper divisors (43604).

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

35020 is a wasteful number, since it uses less digits than its factorization.

35020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 35020 is about 187.1363139532. The cubic root of 35020 is about 32.7168925180.

Adding to 35020 its reverse (2053), we get a palindrome (37073).

The spelling of 35020 in words is "thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 3502 7004 8755 17510 35020