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3960801 = 321397349
BaseRepresentation
bin1111000110111111100001
321110020012100
433012333201
52003221201
6220521013
745444345
oct17067741
97406170
103960801
112265899
1213b0169
13a88a90
14751625
15533886
hex3c6fe1

3960801 has 24 divisors (see below), whose sum is σ = 6242600. Its totient is φ = 2405376.

The previous prime is 3960799. The next prime is 3960811. The reversal of 3960801 is 1080693.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 3629025 = 576^2 + 1905^2 .

It is not a de Polignac number, because 3960801 - 21 = 3960799 is a prime.

3960801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3960811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11175 + ... + 11523.

Almost surely, 23960801 is an apocalyptic number.

It is an amenable number.

3960801 is a deficient number, since it is larger than the sum of its proper divisors (2281799).

3960801 is a wasteful number, since it uses less digits than its factorization.

3960801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3960801 is about 1990.1761228595. The cubic root of 3960801 is about 158.2198642855.

It can be divided in two parts, 3960 and 801, that added together give a square (4761 = 692).

The spelling of 3960801 in words is "three million, nine hundred sixty thousand, eight hundred one".

Divisors: 1 3 9 13 39 97 117 291 349 873 1047 1261 3141 3783 4537 11349 13611 33853 40833 101559 304677 440089 1320267 3960801