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2071318120 = 235834191489
BaseRepresentation
bin111101101110101…
…1100111001101000
312100100112212021221
41323131130321220
513220224134440
6541311311424
7102220625224
oct17335347150
95310485257
102071318120
11973228a63
1249981b574
13270187b31
14159141784
15c1c9dd4a
hex7b75ce68

2071318120 has 64 divisors (see below), whose sum is σ = 4731048000. Its totient is φ = 816043008.

The previous prime is 2071318031. The next prime is 2071318163. The reversal of 2071318120 is 218131702.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1390336 + ... + 1391824.

It is an arithmetic number, because the mean of its divisors is an integer number (73922625).

Almost surely, 22071318120 is an apocalyptic number.

2071318120 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 2071318120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365524000).

2071318120 is an abundant number, since it is smaller than the sum of its proper divisors (2659729880).

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

2071318120 is a wasteful number, since it uses less digits than its factorization.

2071318120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2071318120 is about 45511.7360688427. The cubic root of 2071318120 is about 1274.7223529740.

Adding to 2071318120 its reverse (218131702), we get a palindrome (2289449822).

The spelling of 2071318120 in words is "two billion, seventy-one million, three hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 419 664 830 838 1489 1660 1676 2095 2978 3320 3352 4190 5956 7445 8380 11912 14890 16760 29780 34777 59560 69554 123587 139108 173885 247174 278216 347770 494348 617935 623891 695540 988696 1235870 1247782 1391080 2471740 2495564 3119455 4943480 4991128 6238910 12477820 24955640 51782953 103565906 207131812 258914765 414263624 517829530 1035659060 2071318120