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1960000441 = 7310515437
BaseRepresentation
bin111010011010011…
…0011101110111001
312001121002100010221
41310310303232321
513003230003231
6522253340041
766366505000
oct16464635671
95047070127
101960000441
11916407383
12468497621
132530b0a99
14148445c37
15b7110d11
hex74d33bb9

1960000441 has 16 divisors (see below), whose sum is σ = 2288310400. Its totient is φ = 1678093200.

The previous prime is 1960000421. The next prime is 1960000447. The reversal of 1960000441 is 1440000691.

It is not a de Polignac number, because 1960000441 - 27 = 1960000313 is a prime.

It is a Duffinian number.

1960000441 is a modest number, since divided by 441 gives 196 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1960000447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357775 + ... + 363211.

It is an arithmetic number, because the mean of its divisors is an integer number (143019400).

Almost surely, 21960000441 is an apocalyptic number.

It is an amenable number.

1960000441 is a deficient number, since it is larger than the sum of its proper divisors (328309959).

1960000441 is an equidigital number, since it uses as much as digits as its factorization.

1960000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1960000441 is about 44271.8922229443. The cubic root of 1960000441 is about 1251.4650429951.

It can be divided in two parts, 1960000 and 441, that multiplied together give a square (864360000 = 294002).

The spelling of 1960000441 in words is "one billion, nine hundred sixty million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 7 49 343 1051 5437 7357 38059 51499 266413 360493 1864891 5714287 40000009 280000063 1960000441