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1395761960 = 23534894049
BaseRepresentation
bin101001100110001…
…1010001100101000
310121021101001110102
41103030122030220
510324303340320
6350300004532
746405531565
oct12314321450
93537331412
101395761960
1165696468a
1232b530748
13193226768
14d352b86c
1582809175
hex5331a328

1395761960 has 16 divisors (see below), whose sum is σ = 3140464500. Its totient is φ = 558304768.

The previous prime is 1395761959. The next prime is 1395761963. The reversal of 1395761960 is 691675931.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1390842436 + 4919524 = 37294^2 + 2218^2 .

It is not an unprimeable number, because it can be changed into a prime (1395761963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 17446985 + ... + 17447064.

Almost surely, 21395761960 is an apocalyptic number.

1395761960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395761960 is an abundant number, since it is smaller than the sum of its proper divisors (1744702540).

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

1395761960 is a wasteful number, since it uses less digits than its factorization.

1395761960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34894060 (or 34894056 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 47.

The square root of 1395761960 is about 37359.8977514661. The cubic root of 1395761960 is about 1117.5589800493.

The spelling of 1395761960 in words is "one billion, three hundred ninety-five million, seven hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 34894049 69788098 139576196 174470245 279152392 348940490 697880980 1395761960