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705683142 = 232197926119
BaseRepresentation
bin101010000011111…
…101111011000110
31211011212102021200
4222003331323012
52421123330032
6154005123330
723326131153
oct5203757306
91734772250
10705683142
1133238120a
121783b9546
13b327c0b8
1469a1722a
1541e4647c
hex2a0fdec6

705683142 has 48 divisors (see below), whose sum is σ = 1629888000. Its totient is φ = 220018032.

The previous prime is 705683119. The next prime is 705683177. The reversal of 705683142 is 241386507.

It is a junction number, because it is equal to n+sod(n) for n = 705683097 and 705683106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13959 + ... + 40077.

It is an arithmetic number, because the mean of its divisors is an integer number (33956000).

Almost surely, 2705683142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705683142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814944000).

705683142 is an abundant number, since it is smaller than the sum of its proper divisors (924204858).

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

705683142 is a wasteful number, since it uses less digits than its factorization.

705683142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26225 (or 26222 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 705683142 is about 26564.6972879421. The cubic root of 705683142 is about 890.3004254475.

The spelling of 705683142 in words is "seven hundred five million, six hundred eighty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 3002 4503 9006 13509 26119 27018 52238 78357 156714 235071 470142 496261 992522 1488783 2063401 2977566 4126802 4466349 6190203 8932698 12380406 18570609 37141218 39204619 78409238 117613857 235227714 352841571 705683142