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5340608 = 267213131
BaseRepresentation
bin10100010111110111000000
3101001022221022
4110113313000
52331344413
6310245012
763252200
oct24276700
911038838
105340608
113018529
121956768
13114cb30
149d0400
15707608
hex517dc0

5340608 has 84 divisors (see below), whose sum is σ = 13377672. Its totient is φ = 2096640.

The previous prime is 5340589. The next prime is 5340613. The reversal of 5340608 is 8060435.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40703 + ... + 40833.

It is an arithmetic number, because the mean of its divisors is an integer number (159258).

Almost surely, 25340608 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 5340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688836).

5340608 is an abundant number, since it is smaller than the sum of its proper divisors (8037064).

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

5340608 is a wasteful number, since it uses less digits than its factorization.

5340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5340608 is about 2310.9755515799. The cubic root of 5340608 is about 174.7954944406.

The spelling of 5340608 in words is "five million, three hundred forty thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 131 182 196 208 224 262 364 392 416 448 524 637 728 784 832 917 1048 1274 1456 1568 1703 1834 2096 2548 2912 3136 3406 3668 4192 5096 5824 6419 6812 7336 8384 10192 11921 12838 13624 14672 20384 23842 25676 27248 29344 40768 47684 51352 54496 58688 83447 95368 102704 108992 166894 190736 205408 333788 381472 410816 667576 762944 1335152 2670304 5340608