Search a number
-
+
706716 = 223267293
BaseRepresentation
bin10101100100010011100
31022220102200
42230202130
5140103331
623051500
76002253
oct2544234
91286380
10706716
11442a6a
122a0b90
131b989a
1414579a
15de5e6
hexac89c

706716 has 36 divisors (see below), whose sum is σ = 1819272. Its totient is φ = 231264.

The previous prime is 706709. The next prime is 706729. The reversal of 706716 is 617607.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 706716.

It is a congruent number.

It is an unprimeable number.

706716 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 11 ways as a sum of consecutive naturals, for example, 2266 + ... + 2558.

2706716 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 706716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909636).

706716 is an abundant number, since it is smaller than the sum of its proper divisors (1112556).

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

706716 is a wasteful number, since it uses less digits than its factorization.

706716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 706716 is about 840.6640232578. The cubic root of 706716 is about 89.0734570084.

It can be divided in two parts, 70 and 6716, that added together give a triangular number (6786 = T116).

The spelling of 706716 in words is "seven hundred six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 293 402 586 603 804 879 1172 1206 1758 2412 2637 3516 5274 10548 19631 39262 58893 78524 117786 176679 235572 353358 706716