Search a number
-
+
42142230 = 232513181199
BaseRepresentation
bin1010000011000…
…0101000010110
32221022001021100
42200300220112
541242022410
64103130530
71021126434
oct240605026
987261240
1042142230
1121874099
1212143a46
138966940
14584dd54
153a768c0
hex2830a16

42142230 has 96 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 10264320.

The previous prime is 42142229. The next prime is 42142241. The reversal of 42142230 is 3224124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211671 + ... + 211869.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 242142230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42142230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

42142230 is an abundant number, since it is smaller than the sum of its proper divisors (77104170).

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

42142230 is a wasteful number, since it uses less digits than its factorization.

42142230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42142230 is about 6491.7047067777. The cubic root of 42142230 is about 347.9945995991.

Adding to 42142230 its reverse (3224124), we get a palindrome (45366354).

The spelling of 42142230 in words is "forty-two million, one hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 181 195 199 234 362 390 398 543 585 597 905 995 1086 1170 1194 1629 1791 1810 1990 2353 2587 2715 2985 3258 3582 4706 5174 5430 5970 7059 7761 8145 8955 11765 12935 14118 15522 16290 17910 21177 23283 23530 25870 35295 36019 38805 42354 46566 70590 72038 77610 105885 108057 116415 180095 211770 216114 232830 324171 360190 468247 540285 648342 936494 1080570 1404741 1620855 2341235 2809482 3241710 4214223 4682470 7023705 8428446 14047410 21071115 42142230