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542840 = 23541331
BaseRepresentation
bin10000100100001111000
31000120122012
42010201320
5114332330
615345052
74420424
oct2044170
91016565
10542840
11340931
12222188
1316010c
14101b84
15aac95
hex84878

542840 has 32 divisors (see below), whose sum is σ = 1254960. Its totient is φ = 211200.

The previous prime is 542837. The next prime is 542873. The reversal of 542840 is 48245.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1475 + ... + 1805.

2542840 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 542840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627480).

542840 is an abundant number, since it is smaller than the sum of its proper divisors (712120).

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

542840 is a wasteful number, since it uses less digits than its factorization.

542840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 542840 is about 736.7767640201. The cubic root of 542840 is about 81.5750372188.

The spelling of 542840 in words is "five hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 331 410 662 820 1324 1640 1655 2648 3310 6620 13240 13571 27142 54284 67855 108568 135710 271420 542840