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4213960 = 235176197
BaseRepresentation
bin10000000100110011001000
321221002110121
4100010303020
52034321320
6230153024
750550412
oct20046310
97832417
104213960
112419013
1214b2774
13b4708a
147b99b2
155838aa
hex404cc8

4213960 has 32 divisors (see below), whose sum is σ = 10040760. Its totient is φ = 1586176.

The previous prime is 4213949. The next prime is 4213969. The reversal of 4213960 is 693124.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 550564 = 1914^2 + 742^2 .

It is not an unprimeable number, because it can be changed into a prime (4213969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2419 + ... + 3778.

Almost surely, 24213960 is an apocalyptic number.

4213960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213960 is an abundant number, since it is smaller than the sum of its proper divisors (5826800).

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

4213960 is a wasteful number, since it uses less digits than its factorization.

4213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 4213960 is about 2052.7932190067. The cubic root of 4213960 is about 161.5214245652.

The spelling of 4213960 in words is "four million, two hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6197 12394 24788 30985 49576 61970 105349 123940 210698 247880 421396 526745 842792 1053490 2106980 4213960