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4261320 = 2332571989
BaseRepresentation
bin10000010000010111001000
322000111102200
4100100113020
52042330240
6231200200
751135450
oct20202710
98014380
104261320
112450658
121516060
13b627bb
147ccd60
15592930
hex4105c8

4261320 has 192 divisors, whose sum is σ = 16848000. Its totient is φ = 912384.

The previous prime is 4261319. The next prime is 4261321. The reversal of 4261320 is 231624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4261319) and next prime (4261321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4261293 and 4261302.

It is not an unprimeable number, because it can be changed into a prime (4261321) 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 47 ways as a sum of consecutive naturals, for example, 47836 + ... + 47924.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

Almost surely, 24261320 is an apocalyptic number.

4261320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

4261320 is an abundant number, since it is smaller than the sum of its proper divisors (12586680).

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

4261320 is a wasteful number, since it uses less digits than its factorization.

4261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4261320 is about 2064.2964903327. The cubic root of 4261320 is about 162.1242759240.

Adding to 4261320 its reverse (231624), we get a palindrome (4492944).

The spelling of 4261320 in words is "four million, two hundred sixty-one thousand, three hundred twenty".