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2055175540 = 2251143892441
BaseRepresentation
bin111101001111111…
…0111110101110100
312022020011201211121
41322133313311310
513202111104130
6535533313324
7101633463265
oct17237676564
95266151747
102055175540
11965102890
12494335844
13269a25402
14156d3c96c
15c0660d7a
hex7a7f7d74

2055175540 has 96 divisors (see below), whose sum is σ = 4873841280. Its totient is φ = 721459200.

The previous prime is 2055175537. The next prime is 2055175559. The reversal of 2055175540 is 455715502.

It is a junction number, because it is equal to n+sod(n) for n = 2055175496 and 2055175505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840720 + ... + 843160.

It is an arithmetic number, because the mean of its divisors is an integer number (50769180).

Almost surely, 22055175540 is an apocalyptic number.

2055175540 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 2055175540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436920640).

2055175540 is an abundant number, since it is smaller than the sum of its proper divisors (2818665740).

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

2055175540 is a wasteful number, since it uses less digits than its factorization.

2055175540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 34.

The square root of 2055175540 is about 45334.0439405090. The cubic root of 2055175540 is about 1271.4022455758.

The spelling of 2055175540 in words is "two billion, fifty-five million, one hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 89 110 172 178 215 220 356 430 445 473 860 890 946 979 1780 1892 1958 2365 2441 3827 3916 4730 4882 4895 7654 9460 9764 9790 12205 15308 19135 19580 24410 26851 38270 42097 48820 53702 76540 84194 104963 107404 134255 168388 209926 210485 217249 268510 419852 420970 434498 524815 537020 841940 868996 1049630 1086245 1154593 2099260 2172490 2309186 2389739 4344980 4618372 4779478 5772965 9341707 9558956 11545930 11948695 18683414 23091860 23897390 37366828 46708535 47794780 93417070 102758777 186834140 205517554 411035108 513793885 1027587770 2055175540