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5033120 = 25583379
BaseRepresentation
bin10011001100110010100000
3100110201010212
4103030302200
52242024440
6255513252
760531551
oct23146240
910421125
105033120
112928504
121828828
131072ba1
14950328
15696465
hex4ccca0

5033120 has 48 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1983744.

The previous prime is 5033117. The next prime is 5033143. The reversal of 5033120 is 213305.

It is a junction number, because it is equal to n+sod(n) for n = 5033095 and 5033104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13091 + ... + 13469.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 25033120 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 5033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

5033120 is an abundant number, since it is smaller than the sum of its proper divisors (7032640).

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

5033120 is a wasteful number, since it uses less digits than its factorization.

5033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 5033120 is about 2243.4616109932. The cubic root of 5033120 is about 171.3743267527.

Adding to 5033120 its reverse (213305), we get a palindrome (5246425).

The spelling of 5033120 in words is "five million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 379 415 664 758 830 1328 1516 1660 1895 2656 3032 3320 3790 6064 6640 7580 12128 13280 15160 30320 31457 60640 62914 125828 157285 251656 314570 503312 629140 1006624 1258280 2516560 5033120