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5603040 = 253351297
BaseRepresentation
bin10101010111111011100000
3101112122221000
4111113323200
52413244130
6320032000
765424252
oct25277340
911478830
105603040
113187713
121a62600
131212411
14a5bcd2
1575a260
hex557ee0

5603040 has 96 divisors (see below), whose sum is σ = 19625760. Its totient is φ = 1492992.

The previous prime is 5603027. The next prime is 5603051. The reversal of 5603040 is 403065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3672 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (204435).

Almost surely, 25603040 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 5603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812880).

5603040 is an abundant number, since it is smaller than the sum of its proper divisors (14022720).

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

5603040 is a wasteful number, since it uses less digits than its factorization.

5603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5603040 is about 2367.0741433255. The cubic root of 5603040 is about 177.6129282042.

It can be divided in two parts, 560 and 3040, that added together give a square (3600 = 602).

The spelling of 5603040 in words is "five million, six hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1297 1440 2160 2594 3891 4320 5188 6485 7782 10376 11673 12970 15564 19455 20752 23346 25940 31128 35019 38910 41504 46692 51880 58365 62256 70038 77820 93384 103760 116730 124512 140076 155640 175095 186768 207520 233460 280152 311280 350190 373536 466920 560304 622560 700380 933840 1120608 1400760 1867680 2801520 5603040