Search a number
-
+
2136231780 = 2235475314293
BaseRepresentation
bin111111101010100…
…0100111101100100
312111212200211002120
41333111010331210
513333333404110
6551550505540
7103636445664
oct17725047544
95455624076
102136231780
119a6935611
124b75052b0
13280765497
141639dc1a4
15c7822870
hex7f544f64

2136231780 has 96 divisors (see below), whose sum is σ = 6224408064. Its totient is φ = 546983424.

The previous prime is 2136231763. The next prime is 2136231817. The reversal of 2136231780 is 871326312.

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, 142314 + ... + 156606.

It is an arithmetic number, because the mean of its divisors is an integer number (64837584).

Almost surely, 22136231780 is an apocalyptic number.

2136231780 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 2136231780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112204032).

2136231780 is an abundant number, since it is smaller than the sum of its proper divisors (4088176284).

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

2136231780 is a wasteful number, since it uses less digits than its factorization.

2136231780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14405 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2136231780 is about 46219.3874905326. The cubic root of 2136231780 is about 1287.9019197012.

The spelling of 2136231780 in words is "two billion, one hundred thirty-six million, two hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 795 940 1060 1410 1590 2491 2820 3180 4982 7473 9964 12455 14293 14946 24910 28586 29892 37365 42879 49820 57172 71465 74730 85758 142930 149460 171516 214395 285860 428790 671771 757529 857580 1343542 1515058 2015313 2272587 2687084 3030116 3358855 3787645 4030626 4545174 6717710 7575290 8061252 9090348 10076565 11362935 13435420 15150580 20153130 22725870 35603863 40306260 45451740 71207726 106811589 142415452 178019315 213623178 356038630 427246356 534057945 712077260 1068115890 2136231780