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5362380 = 22325313
BaseRepresentation
bin10100011101001011001100
3101002102210200
4110131023030
52333044010
6310533500
763402522
oct24351314
911072720
105362380
113032921
121967290
131159a0a
149d8312
1570dcc0
hex51d2cc

5362380 has 72 divisors (see below), whose sum is σ = 16808064. Its totient is φ = 1383840.

The previous prime is 5362363. The next prime is 5362391. The reversal of 5362380 is 832635.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 172965 + ... + 172995.

Almost surely, 25362380 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 5362380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404032).

5362380 is an abundant number, since it is smaller than the sum of its proper divisors (11445684).

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

5362380 is a wasteful number, since it uses less digits than its factorization.

5362380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5362380 is about 2315.6813252259. The cubic root of 5362380 is about 175.0327013719.

It can be divided in two parts, 536 and 2380, that added together give a square (2916 = 542).

The spelling of 5362380 in words is "five million, three hundred sixty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 961 1116 1395 1860 1922 2790 2883 3844 4805 5580 5766 8649 9610 11532 14415 17298 19220 28830 29791 34596 43245 57660 59582 86490 89373 119164 148955 172980 178746 268119 297910 357492 446865 536238 595820 893730 1072476 1340595 1787460 2681190 5362380