Search a number
-
+
2149156880 = 2451319611783
BaseRepresentation
bin1000000000011001…
…1000100000010000
312112210000110222222
42000012120200100
513400141010010
6553131520212
7104154350333
oct20006304020
95483013888
102149156880
11a03163412
124bb8b9068
1328333c580
1416560461a
15c8a27355
hex80198810

2149156880 has 160 divisors (see below), whose sum is σ = 5760464640. Its totient is φ = 739031040.

The previous prime is 2149156873. The next prime is 2149156897. The reversal of 2149156880 is 886519412.

It is a Cunningham number, because it is equal to 463592-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204469 + ... + 1206251.

It is an arithmetic number, because the mean of its divisors is an integer number (36002904).

Almost surely, 22149156880 is an apocalyptic number.

2149156880 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 2149156880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880232320).

2149156880 is an abundant number, since it is smaller than the sum of its proper divisors (3611307760).

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

2149156880 is a wasteful number, since it uses less digits than its factorization.

2149156880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 2149156880 is about 46358.9999892146. Note that the first 4 decimals coincide. The cubic root of 2149156880 is about 1290.4941479667.

The spelling of 2149156880 in words is "two billion, one hundred forty-nine million, one hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 61 65 76 80 95 104 122 130 152 190 208 244 247 260 304 305 380 488 494 520 610 760 793 976 988 1040 1159 1220 1235 1520 1586 1783 1976 2318 2440 2470 3172 3566 3952 3965 4636 4880 4940 5795 6344 7132 7930 8915 9272 9880 11590 12688 14264 15067 15860 17830 18544 19760 23179 23180 28528 30134 31720 33877 35660 46358 46360 60268 63440 67754 71320 75335 92716 92720 108763 115895 120536 135508 142640 150670 169385 185432 217526 231790 241072 271016 301340 338770 370864 435052 440401 463580 542032 543815 602680 677540 870104 880802 927160 1087630 1205360 1355080 1413919 1740208 1761604 1854320 2066497 2175260 2202005 2710160 2827838 3523208 4132994 4350520 4404010 5655676 7046416 7069595 8265988 8701040 8808020 10332485 11311352 14139190 16531976 17616040 20664970 22622704 26864461 28278380 33063952 35232080 41329940 53728922 56556760 82659880 107457844 113113520 134322305 165319760 214915688 268644610 429831376 537289220 1074578440 2149156880