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4412320 = 2551123109
BaseRepresentation
bin10000110101001110100000
322022011120021
4100311032200
52112143240
6234323224
752334623
oct20651640
98264507
104412320
112544050
121589514
13bb6453
1482bdba
155c254a
hex4353a0

4412320 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1520640.

The previous prime is 4412293. The next prime is 4412327. The reversal of 4412320 is 232144.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4412294 and 4412303.

It is not an unprimeable number, because it can be changed into a prime (4412327) 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, 40426 + ... + 40534.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 24412320 is an apocalyptic number.

4412320 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 4412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

4412320 is an abundant number, since it is smaller than the sum of its proper divisors (7562720).

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

4412320 is a wasteful number, since it uses less digits than its factorization.

4412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4412320 is about 2100.5523083227. The cubic root of 4412320 is about 164.0170515683.

Adding to 4412320 its reverse (232144), we get a palindrome (4644464).

The spelling of 4412320 in words is "four million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 109 110 115 160 176 184 218 220 230 253 352 368 436 440 460 506 545 736 872 880 920 1012 1090 1199 1265 1744 1760 1840 2024 2180 2398 2507 2530 3488 3680 4048 4360 4796 5014 5060 5995 8096 8720 9592 10028 10120 11990 12535 17440 19184 20056 20240 23980 25070 27577 38368 40112 40480 47960 50140 55154 80224 95920 100280 110308 137885 191840 200560 220616 275770 401120 441232 551540 882464 1103080 2206160 4412320