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2070893040 = 243517349877
BaseRepresentation
bin111101101101111…
…0101000111110000
312100022202021012020
41323123311013300
513220122034130
6541254231440
7102214205016
oct17333650760
95308667166
102070893040
11972a68657
12499655580
132700694c8
141590708b6
15c1c17e10
hex7b6f51f0

2070893040 has 80 divisors (see below), whose sum is σ = 6457006368. Its totient is φ = 549035008.

The previous prime is 2070892951. The next prime is 2070893047. The reversal of 2070893040 is 403980702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2070892992 and 2070893010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070893047) 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 15 ways as a sum of consecutive naturals, for example, 16582 + ... + 66458.

Almost surely, 22070893040 is an apocalyptic number.

2070893040 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 2070893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228503184).

2070893040 is an abundant number, since it is smaller than the sum of its proper divisors (4386113328).

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

2070893040 is a wasteful number, since it uses less digits than its factorization.

2070893040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50066 (or 50060 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2070893040 is about 45507.0658249903. The cubic root of 2070893040 is about 1274.6351466610.

The spelling of 2070893040 in words is "two billion, seventy million, eight hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 6920 8304 10380 13840 20760 41520 49877 99754 149631 199508 249385 299262 399016 498770 598524 748155 798032 997540 1197048 1496310 1995080 2394096 2992620 3990160 5985240 8628721 11970480 17257442 25886163 34514884 43143605 51772326 69029768 86287210 103544652 129430815 138059536 172574420 207089304 258861630 345148840 414178608 517723260 690297680 1035446520 2070893040