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2074313760 = 253510142787
BaseRepresentation
bin111101110100011…
…1000010000100000
312100120012001112120
41323220320100200
513222011020020
6541455424240
7102255242661
oct17350702040
95316161476
102074313760
119749946a2
1249a825080
132709964bc
141596c1368
15c2191740
hex7ba38420

2074313760 has 96 divisors (see below), whose sum is σ = 6598936512. Its totient is φ = 547660800.

The previous prime is 2074313749. The next prime is 2074313789. The reversal of 2074313760 is 673134702.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 27087 + ... + 69873.

It is an arithmetic number, because the mean of its divisors is an integer number (68738922).

Almost surely, 22074313760 is an apocalyptic number.

2074313760 is a gapful number since it is divisible by the number (20) 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 2074313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299468256).

2074313760 is an abundant number, since it is smaller than the sum of its proper divisors (4524622752).

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

2074313760 is a wasteful number, since it uses less digits than its factorization.

2074313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42906 (or 42898 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 2074313760 is about 45544.6348102606. The cubic root of 2074313760 is about 1275.3365785767.

The spelling of 2074313760 in words is "two billion, seventy-four million, three hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 42787 48480 85574 128361 171148 213935 256722 342296 427870 513444 641805 684592 855740 1026888 1283610 1369184 1711480 2053776 2567220 3422960 4107552 4321487 5134440 6845920 8642974 10268880 12964461 17285948 20537760 21607435 25928922 34571896 43214870 51857844 64822305 69143792 86429740 103715688 129644610 138287584 172859480 207431376 259289220 345718960 414862752 518578440 691437920 1037156880 2074313760