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542084340 = 223571379421
BaseRepresentation
bin100000010011111…
…000110011110100
31101210000201220210
4200103320303310
52102233144330
6125442425420
716301432550
oct4023706364
91353021823
10542084340
11258aa0a96
12131662270
13883cb585
1451dcc860
15328cc8b0
hex204f8cf4

542084340 has 96 divisors (see below), whose sum is σ = 1747517184. Its totient is φ = 122987520.

The previous prime is 542084339. The next prime is 542084341. The reversal of 542084340 is 43480245.

It is an interprime number because it is at equal distance from previous prime (542084339) and next prime (542084341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 542084298 and 542084307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542084341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52830 + ... + 62250.

It is an arithmetic number, because the mean of its divisors is an integer number (18203304).

Almost surely, 2542084340 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 542084340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873758592).

542084340 is an abundant number, since it is smaller than the sum of its proper divisors (1205432844).

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

542084340 is a wasteful number, since it uses less digits than its factorization.

542084340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 542084340 is about 23282.7047397849. The cubic root of 542084340 is about 815.3716748546.

The spelling of 542084340 in words is "five hundred forty-two million, eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1918 2055 2740 2877 3836 4110 4795 5754 8220 9421 9590 11508 14385 18842 19180 28263 28770 37684 47105 56526 57540 65947 94210 113052 131894 141315 188420 197841 263788 282630 329735 395682 565260 659470 791364 989205 1290677 1318940 1978410 2581354 3872031 3956820 5162708 6453385 7744062 9034739 12906770 15488124 18069478 19360155 25813540 27104217 36138956 38720310 45173695 54208434 77440620 90347390 108416868 135521085 180694780 271042170 542084340