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5535140 = 2251361349
BaseRepresentation
bin10101000111010110100100
3101102012210012
4111013112210
52404111030
6314345352
765022302
oct25072644
911365705
105535140
1131406a6
121a2b258
1311ba540
14a41272
15745095
hex5475a4

5535140 has 48 divisors (see below), whose sum is σ = 12759600. Its totient is φ = 2004480.

The previous prime is 5535139. The next prime is 5535151. The reversal of 5535140 is 415355.

It can be written as a sum of positive squares in 8 ways, for example, as 1032256 + 4502884 = 1016^2 + 2122^2 .

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 15 ways as a sum of consecutive naturals, for example, 15686 + ... + 16034.

It is an arithmetic number, because the mean of its divisors is an integer number (265825).

Almost surely, 25535140 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 5535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379800).

5535140 is an abundant number, since it is smaller than the sum of its proper divisors (7224460).

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

5535140 is a wasteful number, since it uses less digits than its factorization.

5535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5535140 is about 2352.6878245955. The cubic root of 5535140 is about 176.8925475896.

The spelling of 5535140 in words is "five million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 349 610 698 793 1220 1396 1586 1745 3172 3490 3965 4537 6980 7930 9074 15860 18148 21289 22685 42578 45370 85156 90740 106445 212890 276757 425780 553514 1107028 1383785 2767570 5535140