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2138775780 = 2235175339563
BaseRepresentation
bin111111101111011…
…0010000011100100
312112001111001210210
41333132302003210
513340011311110
6552121215420
7104000202621
oct17736620344
95461431723
102138775780
119a8312999
124b8331570
132811463cb
141640a1348
15c7b76520
hex7f7b20e4

2138775780 has 96 divisors (see below), whose sum is σ = 6460642944. Its totient is φ = 526649344.

The previous prime is 2138775767. The next prime is 2138775799. The reversal of 2138775780 is 875778312.

It is a super-2 number, since 2×21387757802 = 9148723674229216800, which contains 22 as substring.

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, 34279 + ... + 73841.

It is an arithmetic number, because the mean of its divisors is an integer number (67298364).

Almost surely, 22138775780 is an apocalyptic number.

2138775780 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 2138775780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230321472).

2138775780 is an abundant number, since it is smaller than the sum of its proper divisors (4321867164).

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

2138775780 is a wasteful number, since it uses less digits than its factorization.

2138775780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39645 (or 39643 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 2138775780 is about 46246.9002204472. The cubic root of 2138775780 is about 1288.4129633004.

The spelling of 2138775780 in words is "two billion, one hundred thirty-eight million, seven hundred seventy-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 510 530 636 795 901 1020 1060 1590 1802 2703 3180 3604 4505 5406 9010 10812 13515 18020 27030 39563 54060 79126 118689 158252 197815 237378 395630 474756 593445 672571 791260 1186890 1345142 2017713 2096839 2373780 2690284 3362855 4035426 4193678 6290517 6725710 8070852 8387356 10088565 10484195 12581034 13451420 20177130 20968390 25162068 31452585 35646263 40354260 41936780 62905170 71292526 106938789 125810340 142585052 178231315 213877578 356462630 427755156 534693945 712925260 1069387890 2138775780