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2070887049 = 32721121972
BaseRepresentation
bin111101101101111…
…0011101010001001
312100022201221222100
41323123303222021
513220121341144
6541254144013
7102214151400
oct17333635211
95308657870
102070887049
11972a64100
12499652009
1327006686a
1415906c637
15c1c16269
hex7b6f3a89

2070887049 has 81 divisors (see below), whose sum is σ = 3844256871. Its totient is φ = 1070324640.

The previous prime is 2070887029. The next prime is 2070887051. The reversal of 2070887049 is 9407880702.

The square root of 2070887049 is 45507.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2029052025 + 41835024 = 45045^2 + 6468^2 .

It is not a de Polignac number, because 2070887049 - 27 = 2070886921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2070886995 and 2070887013.

It is not an unprimeable number, because it can be changed into a prime (2070887029) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 10512019 + ... + 10512215.

Almost surely, 22070887049 is an apocalyptic number.

2070887049 is the 45507-th square number.

2070887049 is the 22754-th centered octagonal number.

It is an amenable number.

2070887049 is a deficient number, since it is larger than the sum of its proper divisors (1773369822).

2070887049 is a wasteful number, since it uses less digits than its factorization.

2070887049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The cubic root of 2070887049 is about 1274.6339175059.

The spelling of 2070887049 in words is "two billion, seventy million, eight hundred eighty-seven thousand, forty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 197 231 363 441 539 591 693 847 1089 1379 1617 1773 2167 2541 4137 4851 5929 6501 7623 9653 12411 15169 17787 19503 23837 28959 38809 45507 53361 71511 86877 106183 116427 136521 166859 214533 271663 318549 349281 426899 500577 814989 955647 1168013 1280697 1501731 1901641 2444967 2988293 3504039 3842091 4695889 5704923 8964879 10512117 14087667 17114769 20918051 26894637 32871223 42263001 62754153 98613669 188262459 230098561 295841007 690295683 2070887049