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542136 = 23372461
BaseRepresentation
bin10000100010110111000
31000112200010
42010112320
5114322021
615341520
74415400
oct2042670
91015603
10542136
11340351
122218a0
1315c9ba
14101800
15aa976
hex845b8

542136 has 48 divisors (see below), whose sum is σ = 1580040. Its totient is φ = 154560.

The previous prime is 542131. The next prime is 542141. The reversal of 542136 is 631245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542131) and next prime (542141).

It is a super-2 number, since 2×5421362 = 587822884992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542136.

It is not an unprimeable number, because it can be changed into a prime (542131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946 + ... + 1406.

2542136 is an apocalyptic number.

542136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790020).

542136 is an abundant number, since it is smaller than the sum of its proper divisors (1037904).

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

542136 is a wasteful number, since it uses less digits than its factorization.

542136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 542136 is about 736.2988523691. The cubic root of 542136 is about 81.5397575352.

The spelling of 542136 in words is "five hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 461 588 922 1176 1383 1844 2766 3227 3688 5532 6454 9681 11064 12908 19362 22589 25816 38724 45178 67767 77448 90356 135534 180712 271068 542136