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70082560 = 21352959
BaseRepresentation
bin1000010110101…
…10000000000000
311212212120012101
410023112000000
5120420120220
610542040144
71510456222
oct413260000
9155776171
1070082560
1136618079
121b579054
131169a292
149444412
15624530a
hex42d6000

70082560 has 112 divisors (see below), whose sum is σ = 176936400. Its totient is φ = 26607616.

The previous prime is 70082557. The next prime is 70082581. The reversal of 70082560 is 6528007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187811 + ... + 1187869.

Almost surely, 270082560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88468200).

70082560 is an abundant number, since it is smaller than the sum of its proper divisors (106853840).

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

70082560 is an equidigital number, since it uses as much as digits as its factorization.

70082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 70082560 is about 8371.5327151006. The cubic root of 70082560 is about 412.2904917112.

The spelling of 70082560 in words is "seventy million, eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 64 80 116 118 128 145 160 232 236 256 290 295 320 464 472 512 580 590 640 928 944 1024 1160 1180 1280 1711 1856 1888 2048 2320 2360 2560 3422 3712 3776 4096 4640 4720 5120 6844 7424 7552 8192 8555 9280 9440 10240 13688 14848 15104 17110 18560 18880 20480 27376 29696 30208 34220 37120 37760 40960 54752 59392 60416 68440 74240 75520 109504 118784 120832 136880 148480 151040 219008 237568 241664 273760 296960 302080 438016 483328 547520 593920 604160 876032 1095040 1187840 1208320 1752064 2190080 2416640 3504128 4380160 7008256 8760320 14016512 17520640 35041280 70082560