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706380220 = 2257131372833
BaseRepresentation
bin101010000110101…
…000000110111100
31211020011211111101
4222012220012330
52421313131340
6154032102444
723335063360
oct5206500674
91736154441
10706380220
11332807a07
12178694a24
13b3464480
1469b592a0
1542032c9a
hex2a1a81bc

706380220 has 96 divisors (see below), whose sum is σ = 1839696768. Its totient is φ = 221847552.

The previous prime is 706380217. The next prime is 706380251. The reversal of 706380220 is 22083607.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 247924 + ... + 250756.

It is an arithmetic number, because the mean of its divisors is an integer number (19163508).

Almost surely, 2706380220 is an apocalyptic number.

706380220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706380220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919848384).

706380220 is an abundant number, since it is smaller than the sum of its proper divisors (1133316548).

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

706380220 is a wasteful number, since it uses less digits than its factorization.

706380220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 706380220 is about 26577.8144323419. The cubic root of 706380220 is about 890.5934769924.

The spelling of 706380220 in words is "seven hundred six million, three hundred eighty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 137 140 182 260 274 364 455 548 685 910 959 1370 1781 1820 1918 2740 2833 3562 3836 4795 5666 7124 8905 9590 11332 12467 14165 17810 19180 19831 24934 28330 35620 36829 39662 49868 56660 62335 73658 79324 99155 124670 147316 184145 198310 249340 257803 368290 388121 396620 515606 736580 776242 1031212 1289015 1552484 1940605 2578030 2716847 3881210 5045573 5156060 5433694 7762420 10091146 10867388 13584235 20182292 25227865 27168470 35319011 50455730 54336940 70638022 100911460 141276044 176595055 353190110 706380220