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70084560 = 24357133209
BaseRepresentation
bin1000010110101…
…10011111010000
311212212122221110
410023112133100
5120420201220
610542053320
71510465110
oct413263720
9155778843
1070084560
1136619627
121b57a240
131169b170
149445040
156245be0
hex42d67d0

70084560 has 160 divisors (see below), whose sum is σ = 267482880. Its totient is φ = 14782464.

The previous prime is 70084541. The next prime is 70084571. The reversal of 70084560 is 6548007.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 20236 + ... + 23444.

It is an arithmetic number, because the mean of its divisors is an integer number (1671768).

Almost surely, 270084560 is an apocalyptic number.

70084560 is a gapful number since it is divisible by the number (70) 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 70084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133741440).

70084560 is an abundant number, since it is smaller than the sum of its proper divisors (197398320).

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

70084560 is a wasteful number, since it uses less digits than its factorization.

70084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 70084560 is about 8371.6521666873. The cubic root of 70084560 is about 412.2944136244.

The spelling of 70084560 in words is "seventy million, eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3209 3640 4368 5460 6418 7280 9627 10920 12836 16045 19254 21840 22463 25672 32090 38508 41717 44926 48135 51344 64180 67389 77016 83434 89852 96270 112315 125151 128360 134778 154032 166868 179704 192540 208585 224630 250302 256720 269556 292019 333736 336945 359408 385080 417170 449260 500604 539112 584038 625755 667472 673890 770160 834340 876057 898520 1001208 1078224 1168076 1251510 1347780 1460095 1668680 1752114 1797040 2002416 2336152 2503020 2695560 2920190 3337360 3504228 4380285 4672304 5006040 5391120 5840380 7008456 8760570 10012080 11680760 14016912 17521140 23361520 35042280 70084560