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42054660 = 22335471657
BaseRepresentation
bin1010000001101…
…1010000000100
32221010121011000
42200123100010
541231222120
64101213300
71020313224
oct240332004
987117130
1042054660
112181431a
1212101230
138935b1b
14582a084
153a5a990
hex281b404

42054660 has 96 divisors (see below), whose sum is σ = 133701120. Its totient is φ = 10969344.

The previous prime is 42054659. The next prime is 42054667. The reversal of 42054660 is 6645024.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (42054667) 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, 24552 + ... + 26208.

It is an arithmetic number, because the mean of its divisors is an integer number (1392720).

Almost surely, 242054660 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 42054660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66850560).

42054660 is an abundant number, since it is smaller than the sum of its proper divisors (91646460).

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

42054660 is a wasteful number, since it uses less digits than its factorization.

42054660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42054660 is about 6484.9564377874. The cubic root of 42054660 is about 347.7533924667.

Adding to 42054660 its reverse (6645024), we get a palindrome (48699684).

The spelling of 42054660 in words is "forty-two million, fifty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1657 1692 2115 2538 2820 3314 4230 4971 5076 6345 6628 8285 8460 9942 12690 14913 16570 19884 24855 25380 29826 33140 44739 49710 59652 74565 77879 89478 99420 149130 155758 178956 223695 233637 298260 311516 389395 447390 467274 700911 778790 894780 934548 1168185 1401822 1557580 2102733 2336370 2803644 3504555 4205466 4672740 7009110 8410932 10513665 14018220 21027330 42054660