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4401320 = 2357111429
BaseRepresentation
bin10000110010100010101000
322021121110212
4100302202220
52111320240
6234200252
752260560
oct20624250
98247425
104401320
112536860
121583088
13bb1441
14827da0
155be165
hex4328a8

4401320 has 64 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1370880.

The previous prime is 4401289. The next prime is 4401329. The reversal of 4401320 is 231044.

It is a Harshad number since it is a multiple of its sum of digits (14).

4401320 is a modest number, since divided by 1320 gives 440 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4401295 and 4401304.

It is not an unprimeable number, because it can be changed into a prime (4401329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2366 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

Almost surely, 24401320 is an apocalyptic number.

4401320 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 4401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

4401320 is an abundant number, since it is smaller than the sum of its proper divisors (7953880).

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

4401320 is a wasteful number, since it uses less digits than its factorization.

4401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4401320 is about 2097.9323154001. The cubic root of 4401320 is about 163.8806389072.

Adding to 4401320 its reverse (231044), we get a palindrome (4632364).

The spelling of 4401320 in words is "four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1429 1540 2858 3080 5716 7145 10003 11432 14290 15719 20006 28580 31438 40012 50015 57160 62876 78595 80024 100030 110033 125752 157190 200060 220066 314380 400120 440132 550165 628760 880264 1100330 2200660 4401320