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30282172080 = 24351743172607
BaseRepresentation
bin11100001100111101…
…010100011010110000
32220011102020201200220
4130030331110122300
5444004214001310
621524512013040
72121264133656
oct341475243260
986142221626
1030282172080
111192a5510a6
125a51531180
132b17990324
141673adadd6
15bc37b5670
hex70cf546b0

30282172080 has 160 divisors (see below), whose sum is σ = 101708918784. Its totient is φ = 7423438848.

The previous prime is 30282172031. The next prime is 30282172087. The reversal of 30282172080 is 8027128203.

It is not an unprimeable number, because it can be changed into a prime (30282172087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89137 + ... + 261743.

Almost surely, 230282172080 is an apocalyptic number.

30282172080 is a gapful number since it is divisible by the number (30) 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 30282172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50854459392).

30282172080 is an abundant number, since it is smaller than the sum of its proper divisors (71426746704).

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

30282172080 is a wasteful number, since it uses less digits than its factorization.

30282172080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172683 (or 172677 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 30282172080 in words is "thirty billion, two hundred eighty-two million, one hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 43 48 51 60 68 80 85 86 102 120 129 136 170 172 204 215 240 255 258 272 340 344 408 430 510 516 645 680 688 731 816 860 1020 1032 1290 1360 1462 1720 2040 2064 2193 2580 2924 3440 3655 4080 4386 5160 5848 7310 8772 10320 10965 11696 14620 17544 21930 29240 35088 43860 58480 87720 172607 175440 345214 517821 690428 863035 1035642 1380856 1726070 2071284 2589105 2761712 2934319 3452140 4142568 5178210 5868638 6904280 7422101 8285136 8802957 10356420 11737276 13808560 14671595 14844202 17605914 20712840 22266303 23474552 29343190 29688404 35211828 37110505 41425680 44014785 44532606 46949104 58686380 59376808 70423656 74221010 88029570 89065212 111331515 117372760 118753616 126175717 140847312 148442020 176059140 178130424 222663030 234745520 252351434 296884040 352118280 356260848 378527151 445326060 504702868 593768080 630878585 704236560 757054302 890652120 1009405736 1261757170 1514108604 1781304240 1892635755 2018811472 2523514340 3028217208 3785271510 5047028680 6056434416 7570543020 10094057360 15141086040 30282172080