Search a number
-
+
705896820 = 223253921649
BaseRepresentation
bin101010000100110…
…010000101110100
31211012021021101200
4222010302011310
52421202144240
6154013452500
723331011136
oct5204620564
91735237350
10705896820
11332507802
121784a1130
13b3325435
1469a71056
1541e89930
hex2a132174

705896820 has 36 divisors (see below), whose sum is σ = 2141220900. Its totient is φ = 188239104.

The previous prime is 705896803. The next prime is 705896881. The reversal of 705896820 is 28698507.

705896820 is a `hidden beast` number, since 7 + 0 + 589 + 68 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233356176 + 472540644 = 15276^2 + 21738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7058968202 = 996580640972224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1960645 + ... + 1961004.

Almost surely, 2705896820 is an apocalyptic number.

It is an amenable number.

705896820 is an abundant number, since it is smaller than the sum of its proper divisors (1435324080).

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

705896820 is a wasteful number, since it uses less digits than its factorization.

705896820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921664 (or 3921659 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 705896820 is about 26568.7188249641. The cubic root of 705896820 is about 890.3902761681.

The spelling of 705896820 in words is "seven hundred five million, eight hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3921649 7843298 11764947 15686596 19608245 23529894 35294841 39216490 47059788 58824735 70589682 78432980 117649470 141179364 176474205 235298940 352948410 705896820