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706056054 = 231121019629
BaseRepresentation
bin101010000101011…
…000111101110110
31211012120100211020
4222011120331312
52421222243204
6154021122010
723332243314
oct5205307566
91735510736
10706056054
11332606400
12178559306
13b337ca62
1469ab30b4
1541ebbbd9
hex2a158f76

706056054 has 48 divisors (see below), whose sum is σ = 1567686960. Its totient is φ = 211816000.

The previous prime is 706056049. The next prime is 706056061. The reversal of 706056054 is 450650607.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68512 + ... + 78140.

It is an arithmetic number, because the mean of its divisors is an integer number (32660145).

Almost surely, 2706056054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706056054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783843480).

706056054 is an abundant number, since it is smaller than the sum of its proper divisors (861630906).

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

706056054 is a wasteful number, since it uses less digits than its factorization.

706056054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9757 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 706056054 is about 26571.7153002963. The cubic root of 706056054 is about 890.4572216204.

The spelling of 706056054 in words is "seven hundred six million, fifty-six thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 3333 6666 9629 12221 19258 24442 28887 36663 57774 73326 105919 211838 317757 635514 972529 1165109 1945058 2330218 2917587 3495327 5835174 6990654 10697819 21395638 32093457 64186914 117676009 235352018 353028027 706056054