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5379930 = 2325232113
BaseRepresentation
bin10100100001011101011010
3101010022212200
4110201131122
52334124210
6311151030
763504633
oct24413532
911108780
105379930
113045026
121975476
1311649ba
14a0088a
157140c0
hex52175a

5379930 has 72 divisors (see below), whose sum is σ = 14751828. Its totient is φ = 1360128.

The previous prime is 5379929. The next prime is 5379931. The reversal of 5379930 is 399735.

5379930 is a `hidden beast` number, since 537 + 99 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (5379929) and next prime (5379931).

It can be written as a sum of positive squares in 2 ways, for example, as 4575321 + 804609 = 2139^2 + 897^2 .

It is not an unprimeable number, because it can be changed into a prime (5379931) 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 35 ways as a sum of consecutive naturals, for example, 47554 + ... + 47666.

Almost surely, 25379930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5379930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375914).

5379930 is an abundant number, since it is smaller than the sum of its proper divisors (9371898).

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

5379930 is a wasteful number, since it uses less digits than its factorization.

5379930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 5379930 is about 2319.4676113281. The cubic root of 5379930 is about 175.2234424752.

The spelling of 5379930 in words is "five million, three hundred seventy-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 113 115 138 207 226 230 339 345 414 529 565 678 690 1017 1035 1058 1130 1587 1695 2034 2070 2599 2645 3174 3390 4761 5085 5198 5290 7797 7935 9522 10170 12995 15594 15870 23391 23805 25990 38985 46782 47610 59777 77970 116955 119554 179331 233910 298885 358662 537993 597770 896655 1075986 1793310 2689965 5379930