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2080733160 = 2335111679439
BaseRepresentation
bin111110000000101…
…0111011111101000
312101000021012022010
41330001113133220
513230131430120
6542245155520
7102363640302
oct17401273750
95330235263
102080733160
11978579690
124a09bbba0
1327210336c
1415a4b2972
15c2a0d7e0
hex7c0577e8

2080733160 has 128 divisors (see below), whose sum is σ = 6851174400. Its totient is φ = 501346560.

The previous prime is 2080733143. The next prime is 2080733177. The reversal of 2080733160 is 613370802.

It is an interprime number because it is at equal distance from previous prime (2080733143) and next prime (2080733177).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215721 + ... + 225159.

It is an arithmetic number, because the mean of its divisors is an integer number (53524800).

Almost surely, 22080733160 is an apocalyptic number.

2080733160 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 2080733160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425587200).

2080733160 is an abundant number, since it is smaller than the sum of its proper divisors (4770441240).

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

2080733160 is a wasteful number, since it uses less digits than its factorization.

2080733160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2080733160 is about 45615.0540940159. The cubic root of 2080733160 is about 1276.6508228220.

The spelling of 2080733160 in words is "two billion, eighty million, seven hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 167 220 264 330 334 440 501 660 668 835 1002 1320 1336 1670 1837 2004 2505 3340 3674 4008 5010 5511 6680 7348 9185 9439 10020 11022 14696 18370 18878 20040 22044 27555 28317 36740 37756 44088 47195 55110 56634 73480 75512 94390 103829 110220 113268 141585 188780 207658 220440 226536 283170 311487 377560 415316 519145 566340 622974 830632 1038290 1132680 1245948 1557435 1576313 2076580 2491896 3114870 3152626 4153160 4728939 6229740 6305252 7881565 9457878 12459480 12610504 15763130 17339443 18915756 23644695 31526260 34678886 37831512 47289390 52018329 63052520 69357772 86697215 94578780 104036658 138715544 173394430 189157560 208073316 260091645 346788860 416146632 520183290 693577720 1040366580 2080733160