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5355140 = 2257291319
BaseRepresentation
bin10100011011011010000100
3101002001212112
4110123122010
52332331030
6310440152
763342440
oct24333204
911061775
105355140
11302843a
121963058
13115662b
149d5820
1570ba95
hex51b684

5355140 has 48 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1771392.

The previous prime is 5355139. The next prime is 5355151. The reversal of 5355140 is 415535.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3401 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 25355140 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 5355140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5355140 is an abundant number, since it is smaller than the sum of its proper divisors (7950460).

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

5355140 is a wasteful number, since it uses less digits than its factorization.

5355140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

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

The square root of 5355140 is about 2314.1175423906. The cubic root of 5355140 is about 174.9538926150.

It can be divided in two parts, 5355 and 140, that multiplied together give a triangular number (749700 = T1224).

The spelling of 5355140 in words is "five million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1319 2030 2638 4060 5276 6595 9233 13190 18466 26380 36932 38251 46165 76502 92330 153004 184660 191255 267757 382510 535514 765020 1071028 1338785 2677570 5355140