Search a number
-
+
1831661104 = 247131973907
BaseRepresentation
bin110110100101100…
…1110111000110000
311201122121000200011
41231023032320300
512222401123404
6501430504304
763250601560
oct15513167060
94648530604
101831661104
1185aa1a109
12431505094
13232627150
14135398da0
15aac0e604
hex6d2cee30

1831661104 has 160 divisors (see below), whose sum is σ = 4665812480. Its totient is φ = 676325376.

The previous prime is 1831661063. The next prime is 1831661129. The reversal of 1831661104 is 4011661381.

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, 2019019 + ... + 2019925.

It is an arithmetic number, because the mean of its divisors is an integer number (29161328).

Almost surely, 21831661104 is an apocalyptic number.

1831661104 is a gapful number since it is divisible by the number (14) 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 1831661104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332906240).

1831661104 is an abundant number, since it is smaller than the sum of its proper divisors (2834151376).

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

1831661104 is a wasteful number, since it uses less digits than its factorization.

1831661104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1831661104 is about 42797.9100424308. The cubic root of 1831661104 is about 1223.5311794752.

The spelling of 1831661104 in words is "one billion, eight hundred thirty-one million, six hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 73 76 91 104 112 133 146 152 182 208 247 266 292 304 364 494 511 532 584 728 907 949 988 1022 1064 1168 1387 1456 1729 1814 1898 1976 2044 2128 2774 3458 3628 3796 3952 4088 5548 6349 6643 6916 7256 7592 8176 9709 11096 11791 12698 13286 13832 14512 15184 17233 18031 19418 22192 23582 25396 26572 27664 34466 36062 38836 47164 50792 53144 66211 68932 72124 77672 82537 94328 101584 106288 120631 126217 132422 137864 144248 155344 165074 188656 224029 241262 252434 264844 275728 288496 330148 448058 463477 482524 504868 529688 660296 860743 896116 926954 965048 1009736 1059376 1258009 1320592 1568203 1721486 1792232 1853908 1930096 2019472 2516018 3136406 3442972 3584464 3707816 5032036 6025201 6272812 6885944 7415632 8806063 10064072 12050402 12545624 13771888 16354117 17612126 20128144 24100804 25091248 32708234 35224252 48201608 65416468 70448504 96403216 114478819 130832936 140897008 228957638 261665872 457915276 915830552 1831661104