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542080 = 2757112
BaseRepresentation
bin10000100010110000000
31000112121001
42010112000
5114321310
615341344
74415260
oct2042600
91015531
10542080
11340300
12221854
1315c976
141017a0
15aa93a
hex84580

542080 has 96 divisors (see below), whose sum is σ = 1627920. Its totient is φ = 168960.

The previous prime is 542071. The next prime is 542081. The reversal of 542080 is 80245.

542080 = T112 + T113 + ... + T166.

542080 = 712 + 722 + ... + 1252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49275 + ... + 49285.

2542080 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 542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813960).

542080 is an abundant number, since it is smaller than the sum of its proper divisors (1085840).

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

542080 is a wasteful number, since it uses less digits than its factorization.

542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 542080 is about 736.2608233500. The cubic root of 542080 is about 81.5369498857.

The spelling of 542080 in words is "five hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 121 128 140 154 160 176 220 224 242 280 308 320 352 385 440 448 484 560 605 616 640 704 770 847 880 896 968 1120 1210 1232 1408 1540 1694 1760 1936 2240 2420 2464 3080 3388 3520 3872 4235 4480 4840 4928 6160 6776 7040 7744 8470 9680 9856 12320 13552 15488 16940 19360 24640 27104 33880 38720 49280 54208 67760 77440 108416 135520 271040 542080