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3905967 = 313100153
BaseRepresentation
bin1110111001100110101111
321100102222110
432321212233
51444442332
6215415103
745125442
oct16714657
97312873
103905967
11222867a
121384493
13a69b30
14739659
155224cc
hex3b99af

3905967 has 8 divisors (see below), whose sum is σ = 5608624. Its totient is φ = 2403648.

The previous prime is 3905953. The next prime is 3905987. The reversal of 3905967 is 7695093.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3905967 - 28 = 3905711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 100153 = 3905967 / (3 + 9 + 0 + 5 + 9 + 6 + 7).

It is a Duffinian number.

3905967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50038 + ... + 50115.

It is an arithmetic number, because the mean of its divisors is an integer number (701078).

Almost surely, 23905967 is an apocalyptic number.

3905967 is a deficient number, since it is larger than the sum of its proper divisors (1702657).

3905967 is a wasteful number, since it uses less digits than its factorization.

3905967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100169.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 3905967 is about 1976.3519423423. The cubic root of 3905967 is about 157.4863278633.

The spelling of 3905967 in words is "three million, nine hundred five thousand, nine hundred sixty-seven".

Divisors: 1 3 13 39 100153 300459 1301989 3905967