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5180328 = 233329827
BaseRepresentation
bin10011110000101110101000
3100202012002000
4103300232220
52311232303
6303011000
762013666
oct23605650
910665060
105180328
112a1906a
121899a60
1310c4baa
1498bc36
156c4da3
hex4f0ba8

5180328 has 64 divisors (see below), whose sum is σ = 14904000. Its totient is φ = 1665216.

The previous prime is 5180323. The next prime is 5180341. The reversal of 5180328 is 8230815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5180321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5851 + ... + 6677.

It is an arithmetic number, because the mean of its divisors is an integer number (232875).

Almost surely, 25180328 is an apocalyptic number.

5180328 is a gapful number since it is divisible by the number (58) 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 5180328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452000).

5180328 is an abundant number, since it is smaller than the sum of its proper divisors (9723672).

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

5180328 is a wasteful number, since it uses less digits than its factorization.

5180328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5180328 is about 2276.0333916707. The cubic root of 5180328 is about 173.0290750469.

The spelling of 5180328 in words is "five million, one hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 827 1044 1566 1654 2088 2481 3132 3308 4962 6264 6616 7443 9924 14886 19848 22329 23983 29772 44658 47966 59544 71949 89316 95932 143898 178632 191864 215847 287796 431694 575592 647541 863388 1295082 1726776 2590164 5180328