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2086068020 = 2252915123819
BaseRepresentation
bin111110001010110…
…1101111100110100
312101101022020100112
41330111231330310
513233013134040
6542555402152
7102460166651
oct17425557464
95341266315
102086068020
11980592863
124a2753358
1327325069a
1415b0a0c28
15c3214365
hex7c56df34

2086068020 has 48 divisors (see below), whose sum is σ = 4562006400. Its totient is φ = 800284800.

The previous prime is 2086067999. The next prime is 2086068031. The reversal of 2086068020 is 208606802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 75671 + ... + 99489.

It is an arithmetic number, because the mean of its divisors is an integer number (95041800).

Almost surely, 22086068020 is an apocalyptic number.

2086068020 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 2086068020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281003200).

2086068020 is an abundant number, since it is smaller than the sum of its proper divisors (2475938380).

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

2086068020 is a wasteful number, since it uses less digits than its factorization.

2086068020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24008 (or 24006 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2086068020 is about 45673.4936259533. The cubic root of 2086068020 is about 1277.7409739676.

The spelling of 2086068020 in words is "two billion, eighty-six million, sixty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 151 290 302 580 604 755 1510 3020 4379 8758 17516 21895 23819 43790 47638 87580 95276 119095 238190 476380 690751 1381502 2763004 3453755 3596669 6907510 7193338 13815020 14386676 17983345 35966690 71933380 104303401 208606802 417213604 521517005 1043034010 2086068020