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5223120 = 243573109
BaseRepresentation
bin10011111011001011010000
3100211100202220
4103323023100
52314114440
6303541040
762252520
oct23731320
910740686
105223120
112a48231
1218ba780
13110b506
1499d680
156d28d0
hex4fb2d0

5223120 has 80 divisors (see below), whose sum is σ = 18510720. Its totient is φ = 1193472.

The previous prime is 5223109. The next prime is 5223121. The reversal of 5223120 is 213225.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5223120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5223121) 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, 126 + ... + 3234.

It is an arithmetic number, because the mean of its divisors is an integer number (231384).

Almost surely, 25223120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255360).

5223120 is an abundant number, since it is smaller than the sum of its proper divisors (13287600).

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

5223120 is a wasteful number, since it uses less digits than its factorization.

5223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5223120 is about 2285.4146232139. The cubic root of 5223120 is about 173.5042036260.

Adding to 5223120 its reverse (213225), we get a palindrome (5436345).

The spelling of 5223120 in words is "five million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3109 6218 9327 12436 15545 18654 21763 24872 31090 37308 43526 46635 49744 62180 65289 74616 87052 93270 108815 124360 130578 149232 174104 186540 217630 248720 261156 326445 348208 373080 435260 522312 652890 746160 870520 1044624 1305780 1741040 2611560 5223120