Search a number
-
+
1926375990 = 2357111943891
BaseRepresentation
bin111001011010010…
…0010101000110110
311222020211001001220
41302310202220312
512421123012430
6515052531210
765510632350
oct16264425066
94866731056
101926375990
118a9430880
12459180b06
1324913a166
14143bb20d0
15b41bd110
hex72d22a36

1926375990 has 128 divisors (see below), whose sum is σ = 6067630080. Its totient is φ = 379209600.

The previous prime is 1926375989. The next prime is 1926376013. The reversal of 1926375990 is 995736291.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21945 + ... + 65835.

It is an arithmetic number, because the mean of its divisors is an integer number (47403360).

Almost surely, 21926375990 is an apocalyptic number.

1926375990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 43890×43891.

It is a practical number, because each smaller number is the sum of distinct divisors of 1926375990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033815040).

1926375990 is an abundant number, since it is smaller than the sum of its proper divisors (4141254090).

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

1926375990 is a wasteful number, since it uses less digits than its factorization.

1926375990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43938.

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 1926375990 is about 43890.4999971520. The cubic root of 1926375990 is about 1244.2672935869.

The spelling of 1926375990 in words is "one billion, nine hundred twenty-six million, three hundred seventy-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 330 385 399 418 462 570 627 665 770 798 1045 1155 1254 1330 1463 1995 2090 2310 2926 3135 3990 4389 6270 7315 8778 14630 21945 43890 43891 87782 131673 219455 263346 307237 438910 482801 614474 658365 833929 921711 965602 1316730 1448403 1536185 1667858 1843422 2414005 2501787 2896806 3072370 3379607 4169645 4608555 4828010 5003574 5837503 6759214 7242015 8339290 9173219 9217110 10138821 11675006 12508935 14484030 16898035 17512509 18346438 20277642 25017870 27519657 29187515 33796070 35025018 45866095 50694105 55039314 58375030 64212533 87562545 91732190 101388210 128425066 137598285 175125090 192637599 275196570 321062665 385275198 642125330 963187995 1926375990