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542960 = 24511617
BaseRepresentation
bin10000100100011110000
31000120210122
42010203300
5114333320
615345412
74420655
oct2044360
91016718
10542960
11340a30
12222268
131601a2
14101c2c
15aad25
hex848f0

542960 has 40 divisors (see below), whose sum is σ = 1379376. Its totient is φ = 197120.

The previous prime is 542951. The next prime is 542981. The reversal of 542960 is 69245.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

542960 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 572 + ... + 1188.

2542960 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 542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689688).

542960 is an abundant number, since it is smaller than the sum of its proper divisors (836416).

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

542960 is a wasteful number, since it uses less digits than its factorization.

542960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 542960 is about 736.8581953130. The cubic root of 542960 is about 81.5810477580.

The spelling of 542960 in words is "five hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 617 880 1234 2468 3085 4936 6170 6787 9872 12340 13574 24680 27148 33935 49360 54296 67870 108592 135740 271480 542960