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5360820 = 2235471901
BaseRepresentation
bin10100011100110010110100
3101002100122220
4110130302310
52333021240
6310522340
763365133
oct24346264
911070586
105360820
113031733
1219663b0
1311590aa
149d791a
1570d5d0
hex51ccb4

5360820 has 48 divisors (see below), whose sum is σ = 15337728. Its totient is φ = 1398400.

The previous prime is 5360801. The next prime is 5360821. The reversal of 5360820 is 280635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360821) 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, 1870 + ... + 3770.

It is an arithmetic number, because the mean of its divisors is an integer number (319536).

Almost surely, 25360820 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 5360820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668864).

5360820 is an abundant number, since it is smaller than the sum of its proper divisors (9976908).

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

5360820 is a wasteful number, since it uses less digits than its factorization.

5360820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5360820 is about 2315.3444668127. The cubic root of 5360820 is about 175.0157264778.

It can be divided in two parts, 53608 and 20, that added together give a triangular number (53628 = T327).

The spelling of 5360820 in words is "five million, three hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 1901 2820 3802 5703 7604 9505 11406 19010 22812 28515 38020 57030 89347 114060 178694 268041 357388 446735 536082 893470 1072164 1340205 1786940 2680410 5360820