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2077070000 = 2454533919
BaseRepresentation
bin111101111001101…
…1001001010110000
312100202101002101112
41323303121022300
513223212220000
6542034452452
7102320542445
oct17363311260
95322332345
102077070000
119764a7485
1249b734128
1327141cc05
14159bdb9cc
15c2538235
hex7bcd92b0

2077070000 has 100 divisors (see below), whose sum is σ = 5124984480. Its totient is φ = 814944000.

The previous prime is 2077069991. The next prime is 2077070033. The reversal of 2077070000 is 707702.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 528041 + ... + 531959.

Almost surely, 22077070000 is an apocalyptic number.

2077070000 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 2077070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562492240).

2077070000 is an abundant number, since it is smaller than the sum of its proper divisors (3047914480).

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

2077070000 is an equidigital number, since it uses as much as digits as its factorization.

2077070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 23.

The square root of 2077070000 is about 45574.8834337511. The cubic root of 2077070000 is about 1275.9011954954.

Adding to 2077070000 its reverse (707702), we get a palindrome (2077777702).

The spelling of 2077070000 in words is "two billion, seventy-seven million, seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 3919 4240 5000 5300 6625 7838 10000 10600 13250 15676 19595 21200 26500 31352 33125 39190 53000 62704 66250 78380 97975 106000 132500 156760 195950 207707 265000 313520 391900 415414 489875 530000 783800 830828 979750 1038535 1567600 1661656 1959500 2077070 2449375 3323312 3919000 4154140 4898750 5192675 7838000 8308280 9797500 10385350 16616560 19595000 20770700 25963375 39190000 41541400 51926750 83082800 103853500 129816875 207707000 259633750 415414000 519267500 1038535000 2077070000