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1030013040 = 24357673911
BaseRepresentation
bin111101011001001…
…100000001110000
32122210011002021010
4331121030001300
54102140404130
6250112430520
734344652320
oct7531140160
92583132233
101030013040
11489463051
12248b48440
13135518094
149ab21280
156065e0b0
hex3d64c070

1030013040 has 160 divisors (see below), whose sum is σ = 3658622976. Its totient is φ = 234823680.

The previous prime is 1030013021. The next prime is 1030013041. The reversal of 1030013040 is 403100301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130185 + ... + 1131095.

Almost surely, 21030013040 is an apocalyptic number.

1030013040 is a gapful number since it is divisible by the number (10) 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 1030013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829311488).

1030013040 is an abundant number, since it is smaller than the sum of its proper divisors (2628609936).

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

1030013040 is a wasteful number, since it uses less digits than its factorization.

1030013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1030013040 is about 32093.8162268061. The cubic root of 1030013040 is about 1009.9058958822.

Adding to 1030013040 its reverse (403100301), we get a palindrome (1433113341).

The spelling of 1030013040 in words is "one billion, thirty million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 673 840 911 1346 1680 1822 2019 2692 2733 3365 3644 4038 4555 4711 5384 5466 6377 6730 7288 8076 9110 9422 10095 10768 10932 12754 13460 13665 14133 14576 16152 18220 18844 19131 20190 21864 23555 25508 26920 27330 28266 31885 32304 36440 37688 38262 40380 43728 47110 51016 53840 54660 56532 63770 70665 72880 75376 76524 80760 94220 95655 102032 109320 113064 127540 141330 153048 161520 188440 191310 218640 226128 255080 282660 306096 376880 382620 510160 565320 613103 765240 1130640 1226206 1530480 1839309 2452412 3065515 3678618 4291721 4904824 6131030 7357236 8583442 9196545 9809648 12262060 12875163 14714472 17166884 18393090 21458605 24524120 25750326 29428944 34333768 36786180 42917210 49048240 51500652 64375815 68667536 73572360 85834420 103001304 128751630 147144720 171668840 206002608 257503260 343337680 515006520 1030013040