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70035 = 3572329
BaseRepresentation
bin10001000110010011
310120001220
4101012103
54220120
61300123
7411120
oct210623
9116056
1070035
1148689
1234643
1325b54
141b747
1515b40
hex11193

70035 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 29568.

The previous prime is 70019. The next prime is 70039. The reversal of 70035 is 53007.

70035 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 70035 - 24 = 70019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

70035 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 69996 and 70023.

It is not an unprimeable number, because it can be changed into a prime (70039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401 + ... + 2429.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

270035 is an apocalyptic number.

70035 is a deficient number, since it is larger than the sum of its proper divisors (68205).

70035 is a wasteful number, since it uses less digits than its factorization.

70035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 70035 is about 264.6412666233. The cubic root of 70035 is about 41.2197206624.

Multiplying 70035 by its sum of digits (15), we get a triangular number (1050525 = T1449).

The spelling of 70035 in words is "seventy thousand, thirty-five".

Divisors: 1 3 5 7 15 21 23 29 35 69 87 105 115 145 161 203 345 435 483 609 667 805 1015 2001 2415 3045 3335 4669 10005 14007 23345 70035