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3960400 = 24529901
BaseRepresentation
bin1111000110111001010000
321110012122111
433012321100
52003213100
6220515104
745443233
oct17067120
97405574
103960400
112265564
1213aba94
13a88842
1475141a
155336ba
hex3c6e50

3960400 has 30 divisors (see below), whose sum is σ = 9515822. Its totient is φ = 1584000.

The previous prime is 3960377. The next prime is 3960401. The reversal of 3960400 is 40693.

3960400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1056784 + 2903616 = 1028^2 + 1704^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4551 + ... + 5350.

Almost surely, 23960400 is an apocalyptic number.

It is an amenable number.

3960400 is an abundant number, since it is smaller than the sum of its proper divisors (5555422).

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

3960400 is a wasteful number, since it uses less digits than its factorization.

3960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3960400 is about 1990.0753754569. The cubic root of 3960400 is about 158.2145245990.

It can be divided in two parts, 3 and 960400, that multiplied together give a triangular number (2881200 = T2400).

The spelling of 3960400 in words is "three million, nine hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 9901 19802 39604 49505 79208 99010 158416 198020 247525 396040 495050 792080 990100 1980200 3960400