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87114042 = 236149401
BaseRepresentation
bin1010011000101…
…00000100111010
320001220212000000
411030110010322
5134300122132
612351053430
72105312541
oct514240472
9201825000
1087114042
11451a0084
1225211276
1315081492
14b7d9158
1579ab87c
hex531413a

87114042 has 56 divisors (see below), whose sum is σ = 197723700. Its totient is φ = 28771200.

The previous prime is 87114037. The next prime is 87114113. The reversal of 87114042 is 24041178.

It can be written as a sum of positive squares in 2 ways, for example, as 85766121 + 1347921 = 9261^2 + 1161^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 87113997 and 87114015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 217042 + ... + 217442.

Almost surely, 287114042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87114042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98861850).

87114042 is an abundant number, since it is smaller than the sum of its proper divisors (110609658).

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

87114042 is a wasteful number, since it uses less digits than its factorization.

87114042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87114042 is about 9333.4903439174. The cubic root of 87114042 is about 443.2982889492.

The spelling of 87114042 in words is "eighty-seven million, one hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 401 447 486 729 802 894 1203 1341 1458 2406 2682 3609 4023 7218 8046 10827 12069 21654 24138 32481 36207 59749 64962 72414 97443 108621 119498 179247 194886 217242 292329 358494 537741 584658 1075482 1613223 3226446 4839669 9679338 14519007 29038014 43557021 87114042