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542190 = 235113153
BaseRepresentation
bin10000100010111101110
31000112202010
42010113232
5114322230
615342050
74415505
oct2042756
91015663
10542190
113403a0
12221926
1315ca2c
1410183c
15aa9b0
hex845ee

542190 has 64 divisors (see below), whose sum is σ = 1492992. Its totient is φ = 124800.

The previous prime is 542189. The next prime is 542197. The reversal of 542190 is 91245.

542190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5421902 = 587939992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542197) 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, 10204 + ... + 10256.

It is an arithmetic number, because the mean of its divisors is an integer number (23328).

2542190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496).

542190 is an abundant number, since it is smaller than the sum of its proper divisors (950802).

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

542190 is a wasteful number, since it uses less digits than its factorization.

542190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 542190 is about 736.3355213488. The cubic root of 542190 is about 81.5424647285.

It can be divided in two parts, 5 and 42190, that added together give a triangular number (42195 = T290).

The spelling of 542190 in words is "five hundred forty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 53 55 62 66 93 106 110 155 159 165 186 265 310 318 330 341 465 530 583 682 795 930 1023 1166 1590 1643 1705 1749 2046 2915 3286 3410 3498 4929 5115 5830 8215 8745 9858 10230 16430 17490 18073 24645 36146 49290 54219 90365 108438 180730 271095 542190