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851471320 = 235719295519
BaseRepresentation
bin110010110000000…
…110101111011000
32012100012020001211
4302300012233120
53220434040240
6220253552504
730046246450
oct6260065730
92170166054
10851471320
113a76a7007
121b91a5734
13107534bab
1481126d60
154eb42bea
hex32c06bd8

851471320 has 128 divisors (see below), whose sum is σ = 2384640000. Its totient is φ = 266982912.

The previous prime is 851471297. The next prime is 851471323. The reversal of 851471320 is 23174158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851471323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151521 + ... + 157039.

It is an arithmetic number, because the mean of its divisors is an integer number (18630000).

Almost surely, 2851471320 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 851471320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192320000).

851471320 is an abundant number, since it is smaller than the sum of its proper divisors (1533168680).

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

851471320 is a wasteful number, since it uses less digits than its factorization.

851471320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 851471320 is about 29179.9814941682. The cubic root of 851471320 is about 947.8144847571.

The spelling of 851471320 in words is "eight hundred fifty-one million, four hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 232 266 280 290 380 406 532 551 580 665 760 812 1015 1064 1102 1160 1330 1624 2030 2204 2660 2755 3857 4060 4408 5320 5510 5519 7714 8120 11020 11038 15428 19285 22040 22076 27595 30856 38570 38633 44152 55190 77140 77266 104861 110380 154280 154532 160051 193165 209722 220760 309064 320102 386330 419444 524305 640204 734027 772660 800255 838888 1048610 1120357 1280408 1468054 1545320 1600510 2097220 2240714 2936108 3040969 3201020 3670135 4194440 4481428 5601785 5872216 6081938 6402040 7340270 8962856 11203570 12163876 14680540 15204845 21286783 22407140 24327752 29361080 30409690 42573566 44814280 60819380 85147132 106433915 121638760 170294264 212867830 425735660 851471320