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2048077320 = 233523742057
BaseRepresentation
bin111101000010011…
…0010111000001000
312021201211002220120
41322010302320020
513143301433240
6535121223240
7101516240622
oct17204627010
95251732816
102048077320
119610a4893
12491a91b20
1326840b593
14156011c12
15bec0cad0
hex7a132e08

2048077320 has 64 divisors (see below), whose sum is σ = 6411381120. Its totient is φ = 522407424.

The previous prime is 2048077319. The next prime is 2048077331. The reversal of 2048077320 is 237708402.

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, 368269 + ... + 373788.

It is an arithmetic number, because the mean of its divisors is an integer number (100177830).

Almost surely, 22048077320 is an apocalyptic number.

2048077320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048077320 is an abundant number, since it is smaller than the sum of its proper divisors (4363303800).

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

2048077320 is a wasteful number, since it uses less digits than its factorization.

2048077320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742094 (or 742090 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2048077320 is about 45255.6882612562. The cubic root of 2048077320 is about 1269.9368228642.

The spelling of 2048077320 in words is "two billion, forty-eight million, seventy-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 742057 1484114 2226171 2968228 3710285 4452342 5936456 7420570 8904684 11130855 14841140 17067311 17809368 22261710 29682280 34134622 44523420 51201933 68269244 85336555 89046840 102403866 136538488 170673110 204807732 256009665 341346220 409615464 512019330 682692440 1024038660 2048077320