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5220120 = 2335411061
BaseRepresentation
bin10011111010011100011000
3100211012122210
4103322130120
52314020440
6303515120
762241003
oct23723430
910735583
105220120
112a45a54
1218b8aa0
13110a039
1499c53a
156d1a80
hex4fa718

5220120 has 64 divisors (see below), whose sum is σ = 16057440. Its totient is φ = 1356800.

The previous prime is 5220113. The next prime is 5220151. The reversal of 5220120 is 210225.

5220120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 5220096 and 5220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390 + ... + 5450.

Almost surely, 25220120 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 5220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028720).

5220120 is an abundant number, since it is smaller than the sum of its proper divisors (10837320).

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

5220120 is a wasteful number, since it uses less digits than its factorization.

5220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5220120 is about 2284.7581928948. The cubic root of 5220120 is about 173.4709787656.

Adding to 5220120 its reverse (210225), we get a palindrome (5430345).

The spelling of 5220120 in words is "five million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1061 1230 1640 2122 2460 3183 4244 4920 5305 6366 8488 10610 12732 15915 21220 25464 31830 42440 43501 63660 87002 127320 130503 174004 217505 261006 348008 435010 522012 652515 870020 1044024 1305030 1740040 2610060 5220120