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2139889920 = 2835779609
BaseRepresentation
bin111111110001100…
…0010000100000000
312112010120200010020
41333203002010000
513340302434140
6552201133440
7104012523060
oct17743020400
95463520106
102139889920
119a8a03a73
124b878a280
1328144656c
141642b13a0
15c7ce66d0
hex7f8c2100

2139889920 has 144 divisors (see below), whose sum is σ = 7810696320. Its totient is φ = 489111552.

The previous prime is 2139889919. The next prime is 2139889933. The reversal of 2139889920 is 299889312.

2139889920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12925 + ... + 66684.

Almost surely, 22139889920 is an apocalyptic number.

2139889920 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 2139889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905348160).

2139889920 is an abundant number, since it is smaller than the sum of its proper divisors (5670806400).

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

2139889920 is an equidigital number, since it uses as much as digits as its factorization.

2139889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79640 (or 79626 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 2139889920 is about 46258.9442162270. The cubic root of 2139889920 is about 1288.6366462825.

The spelling of 2139889920 in words is "two billion, one hundred thirty-nine million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 79609 159218 238827 318436 398045 477654 557263 636872 796090 955308 1114526 1194135 1273744 1592180 1671789 1910616 2229052 2388270 2547488 2786315 3184360 3343578 3821232 4458104 4776540 5094976 5572630 6368720 6687156 7642464 8358945 8916208 9553080 10189952 11145260 12737440 13374312 15284928 16717890 17832416 19106160 20379904 22290520 25474880 26748624 30569856 33435780 35664832 38212320 44581040 50949760 53497248 61139712 66871560 71329664 76424640 89162080 101899520 106994496 133743120 142659328 152849280 178324160 213988992 267486240 305698560 356648320 427977984 534972480 713296640 1069944960 2139889920