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5380608 = 29331113
BaseRepresentation
bin10100100001101000000000
3101010100210210
4110201220000
52334134413
6311154120
763506622
oct24415000
911110723
105380608
113045592
121975940
1311650bc
14a00c12
157143c3
hex521a00

5380608 has 80 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 1720320.

The previous prime is 5380603. The next prime is 5380621. The reversal of 5380608 is 8060835.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5380603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47560 + ... + 47672.

Almost surely, 25380608 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 5380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

5380608 is an abundant number, since it is smaller than the sum of its proper divisors (9547008).

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

5380608 is a wasteful number, since it uses less digits than its factorization.

5380608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5380608 is about 2319.6137609525. The cubic root of 5380608 is about 175.2308029492.

The spelling of 5380608 in words is "five million, three hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 128 186 192 226 248 256 339 372 384 452 496 512 678 744 768 904 992 1356 1488 1536 1808 1984 2712 2976 3503 3616 3968 5424 5952 7006 7232 7936 10509 10848 11904 14012 14464 15872 21018 21696 23808 28024 28928 42036 43392 47616 56048 57856 84072 86784 112096 168144 173568 224192 336288 448384 672576 896768 1345152 1793536 2690304 5380608