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706104 = 23337467
BaseRepresentation
bin10101100011000111000
31022212121000
42230120320
5140043404
623045000
76000420
oct2543070
91285530
10706104
11442563
122a0760
131b9519
14145480
15de339
hexac638

706104 has 64 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 201312.

The previous prime is 706099. The next prime is 706109. The reversal of 706104 is 401607.

It is an interprime number because it is at equal distance from previous prime (706099) and next prime (706109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706109) by changing a digit.

706104 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 15 ways as a sum of consecutive naturals, for example, 1279 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2706104 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 706104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

706104 is an abundant number, since it is smaller than the sum of its proper divisors (1540296).

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

706104 is a wasteful number, since it uses less digits than its factorization.

706104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 706104 is about 840.2999464477. The cubic root of 706104 is about 89.0477377195.

The spelling of 706104 in words is "seven hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 467 504 756 934 1401 1512 1868 2802 3269 3736 4203 5604 6538 8406 9807 11208 12609 13076 16812 19614 25218 26152 29421 33624 39228 50436 58842 78456 88263 100872 117684 176526 235368 353052 706104