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542360 = 235713149
BaseRepresentation
bin10000100011010011000
31000112222102
42010122120
5114323420
615342532
74416140
oct2043230
91015872
10542360
11340535
12221a48
1315cb30
14101920
15aaa75
hex84698

542360 has 64 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 170496.

The previous prime is 542323. The next prime is 542371. The reversal of 542360 is 63245.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 55 + 42 + 312 + 2 + 65 + 0 .

It is a nialpdrome in base 15.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3566 + ... + 3714.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2542360 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 542360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

542360 is an abundant number, since it is smaller than the sum of its proper divisors (969640).

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

542360 is a wasteful number, since it uses less digits than its factorization.

542360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 542360 is about 736.4509488079. The cubic root of 542360 is about 81.5509862003.

The spelling of 542360 in words is "five hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 149 182 260 280 298 364 455 520 596 728 745 910 1043 1192 1490 1820 1937 2086 2980 3640 3874 4172 5215 5960 7748 8344 9685 10430 13559 15496 19370 20860 27118 38740 41720 54236 67795 77480 108472 135590 271180 542360