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1241340120 = 233352334933
BaseRepresentation
bin100100111111101…
…0101100011011000
310012111210121112000
41021333111203120
510020240340440
6323102121000
742522134256
oct11177254330
93174717460
101241340120
11587782229
122a7880160
1316a239ca7
14bac115d6
1573ea4730
hex49fd58d8

1241340120 has 128 divisors (see below), whose sum is σ = 4156401600. Its totient is φ = 329536512.

The previous prime is 1241340109. The next prime is 1241340127. The reversal of 1241340120 is 210431421.

1241340120 is a `hidden beast` number, since 1 + 241 + 3 + 401 + 20 = 666.

It is a super-2 number, since 2×12413401202 = 3081850587043228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1241340093 and 1241340102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241340127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249174 + ... + 254106.

Almost surely, 21241340120 is an apocalyptic number.

1241340120 is a gapful number since it is divisible by the number (10) 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 1241340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078200800).

1241340120 is an abundant number, since it is smaller than the sum of its proper divisors (2915061480).

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

1241340120 is a wasteful number, since it uses less digits than its factorization.

1241340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1241340120 is about 35232.6570102228. The cubic root of 1241340120 is about 1074.7239586890.

Adding to 1241340120 its reverse (210431421), we get a palindrome (1451771541).

The spelling of 1241340120 in words is "one billion, two hundred forty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 233 270 360 466 540 699 932 1080 1165 1398 1864 2097 2330 2796 3495 4194 4660 4933 5592 6291 6990 8388 9320 9866 10485 12582 13980 14799 16776 19732 20970 24665 25164 27960 29598 31455 39464 41940 44397 49330 50328 59196 62910 73995 83880 88794 98660 118392 125820 133191 147990 177588 197320 221985 251640 266382 295980 355176 443970 532764 591960 665955 887940 1065528 1149389 1331910 1775880 2298778 2663820 3448167 4597556 5327640 5746945 6896334 9195112 10344501 11493890 13792668 17240835 20689002 22987780 27585336 31033503 34481670 41378004 45975560 51722505 62067006 68963340 82756008 103445010 124134012 137926680 155167515 206890020 248268024 310335030 413780040 620670060 1241340120