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473111320 = 235111796007
BaseRepresentation
bin11100001100110…
…001101100011000
31012222020112201111
4130030301230120
51432104030240
6114540230104
714503244203
oct3414615430
91188215644
10473111320
112230715a0
1211253b334
137702c336
1446b9693a
152b8061ea
hex1c331b18

473111320 has 64 divisors (see below), whose sum is σ = 1167955200. Its totient is φ = 171050880.

The previous prime is 473111297. The next prime is 473111323. The reversal of 473111320 is 23111374.

It is a super-2 number, since 2×4731113202 = 447668642224284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 473111291 and 473111300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75757 + ... + 81763.

It is an arithmetic number, because the mean of its divisors is an integer number (18249300).

Almost surely, 2473111320 is an apocalyptic number.

473111320 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 473111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583977600).

473111320 is an abundant number, since it is smaller than the sum of its proper divisors (694843880).

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

473111320 is a wasteful number, since it uses less digits than its factorization.

473111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 473111320 is about 21751.1222698968. The cubic root of 473111320 is about 779.2098726871.

Adding to 473111320 its reverse (23111374), we get a palindrome (496222694).

The spelling of 473111320 in words is "four hundred seventy-three million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 6007 7160 7876 9845 12014 15752 19690 24028 30035 39380 48056 60070 66077 78760 120140 132154 240280 264308 330385 528616 660770 1075253 1321540 2150506 2643080 4301012 5376265 8602024 10752530 11827783 21505060 23655566 43010120 47311132 59138915 94622264 118277830 236555660 473111320