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2070705328 = 242941891223
BaseRepresentation
bin111101101101100…
…0111010010110000
312100022101201200221
41323123013102300
513220100032303
6541250222424
7102212463526
oct17333072260
95308351627
102070705328
1197294a61a
12499584a14
13270001c33
14159022316
15c1bcc4bd
hex7b6c74b0

2070705328 has 80 divisors (see below), whose sum is σ = 4302849600. Its totient is φ = 963522560.

The previous prime is 2070705323. The next prime is 2070705361. The reversal of 2070705328 is 8235070702.

It is a junction number, because it is equal to n+sod(n) for n = 2070705293 and 2070705302.

It is not an unprimeable number, because it can be changed into a prime (2070705323) 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, 1692525 + ... + 1693747.

It is an arithmetic number, because the mean of its divisors is an integer number (53785620).

Almost surely, 22070705328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070705328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151424800).

2070705328 is an abundant number, since it is smaller than the sum of its proper divisors (2232144272).

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

2070705328 is a wasteful number, since it uses less digits than its factorization.

2070705328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 2070705328 is about 45505.0033293044. The cubic root of 2070705328 is about 1274.5966332375.

The spelling of 2070705328 in words is "two billion, seventy million, seven hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 41 58 82 89 116 164 178 232 328 356 464 656 712 1189 1223 1424 2378 2446 2581 3649 4756 4892 5162 7298 9512 9784 10324 14596 19024 19568 20648 29192 35467 41296 50143 58384 70934 100286 105821 108847 141868 200572 211642 217694 283736 401144 423284 435388 567472 802288 846568 870776 1454147 1693136 1741552 2908294 3156563 4462727 5816588 6313126 8925454 11633176 12626252 17850908 23266352 25252504 35701816 50505008 71403632 129419083 258838166 517676332 1035352664 2070705328