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5038020 = 22325132153
BaseRepresentation
bin10011001101111111000100
3100110221212100
4103031333010
52242204040
6255552100
760552051
oct23157704
910427770
105038020
112931159
12182b630
1310751a0
14952028
15697b30
hex4cdfc4

5038020 has 72 divisors (see below), whose sum is σ = 16465176. Its totient is φ = 1239552.

The previous prime is 5038013. The next prime is 5038037. The reversal of 5038020 is 208305.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 4955076 = 288^2 + 2226^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5037984 and 5038002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1264 + ... + 3416.

It is an arithmetic number, because the mean of its divisors is an integer number (228683).

Almost surely, 25038020 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 5038020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232588).

5038020 is an abundant number, since it is smaller than the sum of its proper divisors (11427156).

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

5038020 is a wasteful number, since it uses less digits than its factorization.

5038020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5038020 is about 2244.5534076961. The cubic root of 5038020 is about 171.4299226084.

The spelling of 5038020 in words is "five million, thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2153 2340 4306 6459 8612 10765 12918 19377 21530 25836 27989 32295 38754 43060 55978 64590 77508 83967 96885 111956 129180 139945 167934 193770 251901 279890 335868 387540 419835 503802 559780 839670 1007604 1259505 1679340 2519010 5038020