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70085120 = 29573911
BaseRepresentation
bin1000010110101…
…10101000000000
311212212200201012
410023112220000
5120420210440
610542100052
71510466540
oct413265000
9155780635
1070085120
1136619a96
121b57a628
131169b4b1
149445320
156245e65
hex42d6a00

70085120 has 80 divisors (see below), whose sum is σ = 192094848. Its totient is φ = 24023040.

The previous prime is 70085089. The next prime is 70085143. The reversal of 70085120 is 2158007.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15965 + ... + 19875.

Almost surely, 270085120 is an apocalyptic number.

70085120 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 70085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96047424).

70085120 is an abundant number, since it is smaller than the sum of its proper divisors (122009728).

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

70085120 is an equidigital number, since it uses as much as digits as its factorization.

70085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 70085120 is about 8371.6856128261. The cubic root of 70085120 is about 412.2955117467.

The spelling of 70085120 in words is "seventy million, eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 3911 4480 7822 8960 15644 17920 19555 27377 31288 39110 54754 62576 78220 109508 125152 136885 156440 219016 250304 273770 312880 438032 500608 547540 625760 876064 1001216 1095080 1251520 1752128 2002432 2190160 2503040 3504256 4380320 5006080 7008512 8760640 10012160 14017024 17521280 35042560 70085120