Search a number
-
+
705841380 = 223257353717
BaseRepresentation
bin101010000100100…
…100100011100100
31211012011110100100
4222010210203210
52421143411010
6154012344100
723330360406
oct5204444344
91735143310
10705841380
1133247a092
12178475030
13b330612a
1469a58b76
1541e782c0
hex2a1248e4

705841380 has 72 divisors (see below), whose sum is σ = 2170422072. Its totient is φ = 185642496.

The previous prime is 705841369. The next prime is 705841391. The reversal of 705841380 is 83148507.

705841380 is a `hidden beast` number, since 70 + 584 + 1 + 3 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (705841369) and next prime (705841391).

It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 620906724 = 9216^2 + 24918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13719 + ... + 39998.

It is an arithmetic number, because the mean of its divisors is an integer number (30144751).

Almost surely, 2705841380 is an apocalyptic number.

It is an amenable number.

705841380 is an abundant number, since it is smaller than the sum of its proper divisors (1464580692).

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

705841380 is a wasteful number, since it uses less digits than its factorization.

705841380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53805 (or 53800 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 705841380 is about 26567.6754722727. The cubic root of 705841380 is about 890.3669656181.

Adding to 705841380 its reverse (83148507), we get a palindrome (788989887).

The spelling of 705841380 in words is "seven hundred five million, eight hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 53717 107434 161151 214868 268585 322302 483453 537170 644604 805755 966906 1074340 1611510 1933812 2417265 3223020 3921341 4834530 7842682 9669060 11764023 15685364 19606705 23528046 35292069 39213410 47056092 58820115 70584138 78426820 117640230 141168276 176460345 235280460 352920690 705841380