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2086945120 = 255131079377
BaseRepresentation
bin111110001100100…
…0100000101100000
312101102221210111201
41330121010011200
513233224220440
6543030250544
7102500512051
oct17431040540
95342853451
102086945120
11981031837
124a2ab6a54
13273499990
1415b24c728
15c333919a
hex7c644160

2086945120 has 96 divisors (see below), whose sum is σ = 5359864608. Its totient is φ = 763281408.

The previous prime is 2086945073. The next prime is 2086945121. The reversal of 2086945120 is 215496802.

It is a self number, because there is not a number n which added to its sum of digits gives 2086945120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086945121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217872 + ... + 227248.

It is an arithmetic number, because the mean of its divisors is an integer number (55831923).

Almost surely, 22086945120 is an apocalyptic number.

2086945120 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 2086945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679932304).

2086945120 is an abundant number, since it is smaller than the sum of its proper divisors (3272919488).

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

2086945120 is a wasteful number, since it uses less digits than its factorization.

2086945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2086945120 is about 45683.0944661151. The cubic root of 2086945120 is about 1277.9200268660.

The spelling of 2086945120 in words is "two billion, eighty-six million, nine hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 107 130 160 208 214 260 416 428 520 535 856 1040 1070 1391 1712 2080 2140 2782 3424 4280 5564 6955 8560 9377 11128 13910 17120 18754 22256 27820 37508 44512 46885 55640 75016 93770 111280 121901 150032 187540 222560 243802 300064 375080 487604 609505 750160 975208 1003339 1219010 1500320 1950416 2006678 2438020 3900832 4013356 4876040 5016695 8026712 9752080 10033390 13043407 16053424 19504160 20066780 26086814 32106848 40133560 52173628 65217035 80267120 104347256 130434070 160534240 208694512 260868140 417389024 521736280 1043472560 2086945120