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2070116000 = 2553796551
BaseRepresentation
bin111101101100011…
…0111011010100000
312100021021210021222
41323120313122200
513214422203000
6541225434212
7102204460421
oct17330673240
95307253258
102070116000
11972587877
1249933b968
1326cb56914
14158d0b648
15c1b12a85
hex7b6376a0

2070116000 has 96 divisors (see below), whose sum is σ = 5151444480. Its totient is φ = 817440000.

The previous prime is 2070115979. The next prime is 2070116003. The reversal of 2070116000 is 6110702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2070116000.

It is not an unprimeable number, because it can be changed into a prime (2070116003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 312725 + ... + 319275.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 22070116000 is an apocalyptic number.

2070116000 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 2070116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

2070116000 is an abundant number, since it is smaller than the sum of its proper divisors (3081328480).

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

2070116000 is an equidigital number, since it uses as much as digits as its factorization.

2070116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 2070116000 is about 45498.5274486988. The cubic root of 2070116000 is about 1274.4757039506.

Adding to 2070116000 its reverse (6110702), we get a palindrome (2076226702).

The spelling of 2070116000 in words is "two billion, seventy million, one hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 632 790 800 1000 1264 1580 1975 2000 2528 3160 3950 4000 6320 6551 7900 9875 12640 13102 15800 19750 26204 31600 32755 39500 52408 63200 65510 79000 104816 131020 158000 163775 209632 262040 316000 327550 517529 524080 655100 818875 1035058 1048160 1310200 1637750 2070116 2587645 2620400 3275500 4140232 5175290 5240800 6551000 8280464 10350580 12938225 13102000 16560928 20701160 25876450 26204000 41402320 51752900 64691125 82804640 103505800 129382250 207011600 258764500 414023200 517529000 1035058000 2070116000