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130310040 = 23357532927
BaseRepresentation
bin1111100010001…
…01111110011000
3100002012102202210
413301011332120
5231324410130
620532555120
73141421440
oct761057630
9302172683
10130310040
1167613953
1237782aa0
1320cc6943
1413441120
15b6905b0
hex7c45f98

130310040 has 128 divisors (see below), whose sum is σ = 455362560. Its totient is φ = 29213184.

The previous prime is 130310039. The next prime is 130310053. The reversal of 130310040 is 40013031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130309998 and 130310025.

It is a congruent number.

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, 43057 + ... + 45983.

It is an arithmetic number, because the mean of its divisors is an integer number (3557520).

Almost surely, 2130310040 is an apocalyptic number.

130310040 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 130310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227681280).

130310040 is an abundant number, since it is smaller than the sum of its proper divisors (325052520).

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

130310040 is a wasteful number, since it uses less digits than its factorization.

130310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2997 counting only the distinct ones).

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

The square root of 130310040 is about 11415.3423076139. The cubic root of 130310040 is about 506.9821000570.

Adding to 130310040 its reverse (40013031), we get a palindrome (170323071).

The spelling of 130310040 in words is "one hundred thirty million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2927 2968 3180 3710 4452 5565 5854 6360 7420 8781 8904 11130 11708 14635 14840 17562 20489 22260 23416 29270 35124 40978 43905 44520 58540 61467 70248 81956 87810 102445 117080 122934 155131 163912 175620 204890 245868 307335 310262 351240 409780 465393 491736 614670 620524 775655 819560 930786 1085917 1229340 1241048 1551310 1861572 2171834 2326965 2458680 3102620 3257751 3723144 4343668 4653930 5429585 6205240 6515502 8687336 9307860 10859170 13031004 16288755 18615720 21718340 26062008 32577510 43436680 65155020 130310040