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705942 = 23317769
BaseRepresentation
bin10101100010110010110
31022212101000
42230112112
5140042232
623044130
76000066
oct2542626
91285330
10705942
11442426
122a0646
131b9423
141453a6
15de27c
hexac596

705942 has 32 divisors (see below), whose sum is σ = 1663200. Its totient is φ = 221184.

The previous prime is 705937. The next prime is 705949. The reversal of 705942 is 249507.

705942 is a `hidden beast` number, since 70 + 594 + 2 = 666.

705942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705949) by changing a digit.

705942 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, 534 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (51975).

2705942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831600).

705942 is an abundant number, since it is smaller than the sum of its proper divisors (957258).

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

705942 is a wasteful number, since it uses less digits than its factorization.

705942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 705942 is about 840.2035467671. The cubic root of 705942 is about 89.0409271850.

The spelling of 705942 in words is "seven hundred five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 769 918 1538 2307 4614 6921 13073 13842 20763 26146 39219 41526 78438 117657 235314 352971 705942