Search a number
-
+
2128726028 = 221113319261
BaseRepresentation
bin111111011100001…
…1100100000001100
312111100120111010202
41332320130200030
513324423213103
6551121553032
7103515605222
oct17670344014
95440514122
102128726028
119a2679410
124b4aa5778
1327c038000
14162a06b12
15c6d3d988
hex7ee1c80c

2128726028 has 144 divisors (see below), whose sum is σ = 4722510240. Its totient is φ = 832291200.

The previous prime is 2128726007. The next prime is 2128726087. The reversal of 2128726028 is 8206278212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2128725982 and 2128726000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34897118 + ... + 34897178.

It is an arithmetic number, because the mean of its divisors is an integer number (32795210).

Almost surely, 22128726028 is an apocalyptic number.

It is an amenable number.

2128726028 is an abundant number, since it is smaller than the sum of its proper divisors (2593784212).

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

2128726028 is a wasteful number, since it uses less digits than its factorization.

2128726028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2128726028 is about 46138.1190340482. The cubic root of 2128726028 is about 1286.3917814460.

The spelling of 2128726028 in words is "two billion, one hundred twenty-eight million, seven hundred twenty-six thousand, twenty-eight".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 61 76 122 143 169 209 244 247 286 338 361 418 494 572 671 676 722 793 836 988 1159 1342 1444 1586 1859 2197 2318 2684 2717 3172 3211 3718 3971 4394 4636 4693 5434 6422 7436 7942 8723 8788 9386 10309 10868 12749 12844 15067 15884 17446 18772 20618 22021 24167 25498 30134 34892 35321 41236 41743 44042 48334 50996 51623 60268 61009 70642 83486 88084 96668 103246 113399 122018 134017 141284 165737 166972 195871 206492 226798 242231 244036 268034 286273 331474 391742 453596 459173 484462 536068 572546 662948 671099 783484 793117 918346 968924 1145092 1342198 1474187 1586234 1836692 2154581 2546323 2684396 2948374 3149003 3172468 3721549 4309162 5092646 5896748 6298006 7443098 8618324 8724287 10185292 12596012 14886196 17448574 28009553 34897148 40937039 48380137 56019106 81874078 96760274 112038212 163748156 193520548 532181507 1064363014 2128726028