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42351120 = 2433572801
BaseRepresentation
bin1010000110001…
…1101000010000
32221200122211000
42201203220100
541320213440
64111422000
71022656440
oct241435020
987618730
1042351120
11219a7029
1212224900
138a0aa46
1458a6120
153ab8730
hex2863a10

42351120 has 160 divisors (see below), whose sum is σ = 166775040. Its totient is φ = 9676800.

The previous prime is 42351109. The next prime is 42351139. The reversal of 42351120 is 2115324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42351093 and 42351102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13720 + ... + 16520.

It is an arithmetic number, because the mean of its divisors is an integer number (1042344).

Almost surely, 242351120 is an apocalyptic number.

42351120 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 42351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83387520).

42351120 is an abundant number, since it is smaller than the sum of its proper divisors (124423920).

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

42351120 is a wasteful number, since it uses less digits than its factorization.

42351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42351120 is about 6507.7738129102. The cubic root of 42351120 is about 348.5686304020.

Adding to 42351120 its reverse (2115324), we get a palindrome (44466444).

The spelling of 42351120 in words is "forty-two million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 2801 3024 3780 5040 5602 7560 8403 11204 14005 15120 16806 19607 22408 25209 28010 33612 39214 42015 44816 50418 56020 58821 67224 75627 78428 84030 98035 100836 112040 117642 126045 134448 151254 156856 168060 176463 196070 201672 224080 235284 252090 294105 302508 313712 336120 352926 378135 392140 403344 470568 504180 529389 588210 605016 672240 705852 756270 784280 882315 941136 1008360 1058778 1176420 1210032 1411704 1512540 1568560 1764630 2016720 2117556 2352840 2646945 2823408 3025080 3529260 4235112 4705680 5293890 6050160 7058520 8470224 10587780 14117040 21175560 42351120