Search a number
-
+
2139677020 = 22513191812393
BaseRepresentation
bin111111110001000…
…1110000101011100
312112010011212002001
41333202032011130
513340224131040
6552152412044
7104010645265
oct17742160534
95463155061
102139677020
119a8879018
124b86a7024
132813a06a0
1416425796c
15c7ca359a
hex7f88e15c

2139677020 has 96 divisors (see below), whose sum is σ = 5123926080. Its totient is φ = 744007680.

The previous prime is 2139676997. The next prime is 2139677027. The reversal of 2139677020 is 207769312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139677027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892944 + ... + 895336.

It is an arithmetic number, because the mean of its divisors is an integer number (53374230).

Almost surely, 22139677020 is an apocalyptic number.

2139677020 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 2139677020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561963040).

2139677020 is an abundant number, since it is smaller than the sum of its proper divisors (2984249060).

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

2139677020 is a wasteful number, since it uses less digits than its factorization.

2139677020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 2139677020 is about 46256.6429823869. The cubic root of 2139677020 is about 1288.5939089064.

The spelling of 2139677020 in words is "two billion, one hundred thirty-nine million, six hundred seventy-seven thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 181 190 247 260 362 380 494 724 905 988 1235 1810 2353 2393 2470 3439 3620 4706 4786 4940 6878 9412 9572 11765 11965 13756 17195 23530 23930 31109 34390 44707 45467 47060 47860 62218 68780 89414 90934 124436 155545 178828 181868 223535 227335 311090 433133 447070 454670 591071 622180 866266 894140 909340 1182142 1732532 2165665 2364284 2955355 4331330 5630729 5910710 8229527 8662660 11261458 11821420 16459054 22522916 28153645 32918108 41147635 56307290 82295270 106983851 112614580 164590540 213967702 427935404 534919255 1069838510 2139677020