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705666396 = 22317291011181
BaseRepresentation
bin101010000011111…
…001110101011100
31211011211120022110
4222003321311130
52421122311041
6154004514020
723326031301
oct5203716534
91734746273
10705666396
1133236a676
121783ab910
13b32745a6
1469a110a8
1541e41516
hex2a0f9d5c

705666396 has 96 divisors (see below), whose sum is σ = 1822927680. Its totient is φ = 211456000.

The previous prime is 705666383. The next prime is 705666407. The reversal of 705666396 is 693666507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596926 + ... + 598106.

It is an arithmetic number, because the mean of its divisors is an integer number (18988830).

Almost surely, 2705666396 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 705666396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911463840).

705666396 is an abundant number, since it is smaller than the sum of its proper divisors (1117261284).

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

705666396 is a wasteful number, since it uses less digits than its factorization.

705666396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 705666396 is about 26564.3820933219. The cubic root of 705666396 is about 890.2933830569.

The spelling of 705666396 in words is "seven hundred five million, six hundred sixty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 101 102 116 174 202 204 303 348 404 493 606 986 1181 1212 1479 1717 1972 2362 2929 2958 3434 3543 4724 5151 5858 5916 6868 7086 8787 10302 11716 14172 17574 20077 20604 34249 35148 40154 49793 60231 68498 80308 99586 102747 119281 120462 136996 149379 199172 205494 238562 240924 298758 357843 410988 477124 582233 597516 715686 1164466 1431372 1746699 2027777 2328932 3459149 3493398 4055554 6083331 6918298 6986796 8111108 10377447 12166662 13836596 20754894 24333324 41509788 58805533 117611066 176416599 235222132 352833198 705666396