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706062240 = 253251337717
BaseRepresentation
bin101010000101011…
…010011110100000
31211012120200022100
4222011122132200
52421222442430
6154021210400
723332300332
oct5205323640
91735520270
10706062240
11332610014
12178560a00
13b3382810
1469ab5452
1541ebd960
hex2a15a7a0

706062240 has 144 divisors (see below), whose sum is σ = 2594847528. Its totient is φ = 173795328.

The previous prime is 706062233. The next prime is 706062283. The reversal of 706062240 is 42260607.

It can be written as a sum of positive squares in 4 ways, for example, as 639280656 + 66781584 = 25284^2 + 8172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139 + ... + 37578.

Almost surely, 2706062240 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 706062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297423764).

706062240 is an abundant number, since it is smaller than the sum of its proper divisors (1888785288).

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

706062240 is a wasteful number, since it uses less digits than its factorization.

706062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37751 (or 37740 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 706062240 is about 26571.8317020111. The cubic root of 706062240 is about 890.4598221469.

The spelling of 706062240 in words is "seven hundred six million, sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 37717 75434 113151 150868 188585 226302 301736 339453 377170 452604 490321 565755 603472 678906 754340 905208 980642 1131510 1206944 1357812 1470963 1508680 1697265 1810416 1961284 2263020 2451605 2715624 2941926 3017360 3394530 3620832 3922568 4412889 4526040 4903210 5431248 5883852 6034720 6789060 7354815 7845136 8825778 9052080 9806420 10862496 11767704 13578120 14709630 15690272 17651556 18104160 19612840 22064445 23535408 27156240 29419260 35303112 39225680 44128890 47070816 54312480 58838520 70606224 78451360 88257780 117677040 141212448 176515560 235354080 353031120 706062240