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2075320764 = 2234111734253
BaseRepresentation
bin111101110110010…
…1110000110111100
312100122002012220000
41323230232012330
513222240231024
6541533154300
7102266635566
oct17354560674
95318065800
102075320764
11975512230
1249b02b990
13270c5996a
141598a4336
15c22decc9
hex7bb2e1bc

2075320764 has 120 divisors (see below), whose sum is σ = 6266837808. Its totient is φ = 591874560.

The previous prime is 2075320717. The next prime is 2075320783. The reversal of 2075320764 is 4670235702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43462 + ... + 77714.

Almost surely, 22075320764 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 2075320764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133418904).

2075320764 is an abundant number, since it is smaller than the sum of its proper divisors (4191517044).

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

2075320764 is a wasteful number, since it uses less digits than its factorization.

2075320764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34297 (or 34286 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2075320764 is about 45555.6886019737. The cubic root of 2075320764 is about 1275.5429217209.

The spelling of 2075320764 in words is "two billion, seventy-five million, three hundred twenty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1122 1188 1377 1683 1782 1836 2244 2754 3366 3564 5049 5508 6732 10098 15147 20196 30294 34253 60588 68506 102759 137012 205518 308277 376783 411036 582301 616554 753566 924831 1130349 1164602 1233108 1507132 1746903 1849662 2260698 2329204 2774493 3391047 3493806 3699324 4521396 5240709 5548986 6405311 6782094 6987612 10173141 10481418 11097972 12810622 13564188 15722127 19215933 20346282 20962836 25621244 30519423 31444254 38431866 40692564 47166381 57647799 61038846 62888508 76863732 94332762 115295598 122077692 172943397 188665524 230591196 345886794 518830191 691773588 1037660382 2075320764