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42240 = 283511
BaseRepresentation
bin1010010100000000
32010221110
422110000
52322430
6523320
7234102
oct122400
963843
1042240
1129810
1220540
13162c3
1411572
15c7b0
hexa500

42240 has 72 divisors (see below), whose sum is σ = 147168. Its totient is φ = 10240.

The previous prime is 42239. The next prime is 42257. The reversal of 42240 is 4224.

Adding to 42240 its reverse (4224), we get a palindrome (46464).

It can be divided in two parts, 42 and 240, that added together give a palindrome (282).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a d-powerful number, because it can be written as 44 + 213 + 215 + 45 + 0 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3835 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (2044).

242240 is an apocalyptic number.

42240 is a gapful number since it is divisible by the number (40) 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 42240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584).

42240 is an abundant number, since it is smaller than the sum of its proper divisors (104928).

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

42240 is a wasteful number, since it uses less digits than its factorization.

42240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42240 is about 205.5237212586. The cubic root of 42240 is about 34.8263507647.

The spelling of 42240 in words is "forty-two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240