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70707 = 3721337
BaseRepresentation
bin10001010000110011
310120222210
4101100303
54230312
61303203
7413100
oct212063
9116883
1070707
114913a
1234b03
1326250
141baa7
1515e3c
hex11433

70707 has 24 divisors (see below), whose sum is σ = 121296. Its totient is φ = 36288.

The previous prime is 70687. The next prime is 70709.

70707 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 70707 - 28 = 70451 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

70707 is an undulating number in base 10.

70707 is a modest number, since divided by 707 gives 7 as remainder.

70707 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70707.

It is not an unprimeable number, because it can be changed into a prime (70709) 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 23 ways as a sum of consecutive naturals, for example, 1893 + ... + 1929.

It is an arithmetic number, because the mean of its divisors is an integer number (5054).

270707 is an apocalyptic number.

70707 is a deficient number, since it is larger than the sum of its proper divisors (50589).

70707 is a wasteful number, since it uses less digits than its factorization.

70707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 21.

The square root of 70707 is about 265.9078787851. The cubic root of 70707 is about 41.3511384153.

It can be divided in two parts, 70 and 707, that added together give a palindrome (777).

The spelling of 70707 in words is "seventy thousand, seven hundred seven", and thus it is an iban number.

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 1443 1813 1911 3367 5439 10101 23569 70707