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5339040 = 253572227
BaseRepresentation
bin10100010111011110100000
3101001020210020
4110113132200
52331322130
6310233440
763244500
oct24273640
911036706
105339040
113017333
121955880
13114c1c5
149cda00
15706e10
hex5177a0

5339040 has 144 divisors (see below), whose sum is σ = 19649952. Its totient is φ = 1214976.

The previous prime is 5339039. The next prime is 5339051. The reversal of 5339040 is 409335.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5339040.

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, 23407 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (136458).

Almost surely, 25339040 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 5339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824976).

5339040 is an abundant number, since it is smaller than the sum of its proper divisors (14310912).

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

5339040 is a wasteful number, since it uses less digits than its factorization.

5339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5339040 is about 2310.6362760071. The cubic root of 5339040 is about 174.7783861411.

It can be divided in two parts, 53 and 39040, that added together give a palindrome (39093).

The spelling of 5339040 in words is "five million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 227 240 245 280 294 336 392 420 454 480 490 560 588 672 681 735 784 840 908 980 1120 1135 1176 1362 1470 1568 1589 1680 1816 1960 2270 2352 2724 2940 3178 3360 3405 3632 3920 4540 4704 4767 5448 5880 6356 6810 7264 7840 7945 9080 9534 10896 11123 11760 12712 13620 15890 18160 19068 21792 22246 23520 23835 25424 27240 31780 33369 36320 38136 44492 47670 50848 54480 55615 63560 66738 76272 88984 95340 108960 111230 127120 133476 152544 166845 177968 190680 222460 254240 266952 333690 355936 381360 444920 533904 667380 762720 889840 1067808 1334760 1779680 2669520 5339040