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5200440 = 2335741151
BaseRepresentation
bin10011110101101000111000
3100210012122220
4103311220320
52312403230
6303244040
762126430
oct23655070
910705586
105200440
112a32193
1218a9620
1311010ab
149952c0
156cad10
hex4f5a38

5200440 has 128 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1152000.

The previous prime is 5200439. The next prime is 5200441. The reversal of 5200440 is 440025.

5200440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5200439) and next prime (5200441).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34365 + ... + 34515.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 25200440 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 5200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5200440 is an abundant number, since it is smaller than the sum of its proper divisors (13185480).

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

5200440 is a wasteful number, since it uses less digits than its factorization.

5200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5200440 is about 2280.4473245396. The cubic root of 5200440 is about 173.2527074074.

Adding to 5200440 its reverse (440025), we get a palindrome (5640465).

The spelling of 5200440 in words is "five million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 151 164 168 205 210 246 280 287 302 328 410 420 453 492 574 604 615 755 820 840 861 906 984 1057 1148 1208 1230 1435 1510 1640 1722 1812 2114 2265 2296 2460 2870 3020 3171 3444 3624 4228 4305 4530 4920 5285 5740 6040 6191 6342 6888 8456 8610 9060 10570 11480 12382 12684 15855 17220 18120 18573 21140 24764 25368 30955 31710 34440 37146 42280 43337 49528 61910 63420 74292 86674 92865 123820 126840 130011 148584 173348 185730 216685 247640 260022 346696 371460 433370 520044 650055 742920 866740 1040088 1300110 1733480 2600220 5200440