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4137320 = 235119403
BaseRepresentation
bin1111110010000101101000
321210012100002
433302011220
52024343240
6224402132
750111105
oct17620550
97705302
104137320
112376480
121476348
13b1b225
14799aac
1556ad15
hex3f2168

4137320 has 32 divisors (see below), whose sum is σ = 10156320. Its totient is φ = 1504320.

The previous prime is 4137311. The next prime is 4137323. The reversal of 4137320 is 237314.

4137320 is nontrivially palindromic in base 7.

4137320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 4137292 and 4137301.

It is not an unprimeable number, because it can be changed into a prime (4137323) 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 7 ways as a sum of consecutive naturals, for example, 4262 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (317385).

Almost surely, 24137320 is an apocalyptic number.

4137320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4137320 is an abundant number, since it is smaller than the sum of its proper divisors (6019000).

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

4137320 is a wasteful number, since it uses less digits than its factorization.

4137320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 4137320 is about 2034.0403142514. The cubic root of 4137320 is about 160.5362217398.

The spelling of 4137320 in words is "four million, one hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9403 18806 37612 47015 75224 94030 103433 188060 206866 376120 413732 517165 827464 1034330 2068660 4137320