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5607400 = 235223253
BaseRepresentation
bin10101011000111111101000
3101112212220111
4111120333220
52413414100
6320104104
765443051
oct25307750
911485814
105607400
11318aa17
121a65034
1312143b6
14a5d728
1575b6ba
hex558fe8

5607400 has 72 divisors (see below), whose sum is σ = 13885830. Its totient is φ = 2104960.

The previous prime is 5607391. The next prime is 5607401. The reversal of 5607400 is 47065.

It can be written as a sum of positive squares in 3 ways, for example, as 4674244 + 933156 = 2162^2 + 966^2 .

It is not an unprimeable number, because it can be changed into a prime (5607401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 105774 + ... + 105826.

Almost surely, 25607400 is an apocalyptic number.

5607400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5607400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942915).

5607400 is an abundant number, since it is smaller than the sum of its proper divisors (8278430).

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

5607400 is a wasteful number, since it uses less digits than its factorization.

5607400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 5607400 is about 2367.9949324270. The cubic root of 5607400 is about 177.6589860341.

The spelling of 5607400 in words is "five million, six hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 53 92 100 106 115 184 200 212 230 265 424 460 529 530 575 920 1058 1060 1150 1219 1325 2116 2120 2300 2438 2645 2650 4232 4600 4876 5290 5300 6095 9752 10580 10600 12190 13225 21160 24380 26450 28037 30475 48760 52900 56074 60950 105800 112148 121900 140185 224296 243800 280370 560740 700925 1121480 1401850 2803700 5607400