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42331140 = 22335277283
BaseRepresentation
bin1010000101111…
…0110000000100
32221122122102000
42201132300010
541314044030
64111145300
71022544255
oct241366004
987578360
1042331140
1121993015
1212215230
138a01917
14589cb2c
153ab2860
hex285ec04

42331140 has 96 divisors (see below), whose sum is σ = 132639360. Its totient is φ = 11207808.

The previous prime is 42331117. The next prime is 42331141. The reversal of 42331140 is 4113324.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42331141) 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, 149439 + ... + 149721.

It is an arithmetic number, because the mean of its divisors is an integer number (1381660).

Almost surely, 242331140 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 42331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66319680).

42331140 is an abundant number, since it is smaller than the sum of its proper divisors (90308220).

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

42331140 is a wasteful number, since it uses less digits than its factorization.

42331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42331140 is about 6506.2385446585. The cubic root of 42331140 is about 348.5138070056.

Adding to 42331140 its reverse (4113324), we get a palindrome (46444464).

The spelling of 42331140 in words is "forty-two million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 277 283 540 554 566 831 849 1108 1132 1385 1415 1662 1698 2493 2547 2770 2830 3324 3396 4155 4245 4986 5094 5540 5660 7479 7641 8310 8490 9972 10188 12465 12735 14958 15282 16620 16980 24930 25470 29916 30564 37395 38205 49860 50940 74790 76410 78391 149580 152820 156782 235173 313564 391955 470346 705519 783910 940692 1175865 1411038 1567820 2116557 2351730 2822076 3527595 4233114 4703460 7055190 8466228 10582785 14110380 21165570 42331140