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1104410040 = 233537251991
BaseRepresentation
bin100000111010011…
…1111010110111000
32211222010211202120
41001310333112320
54230212110130
6301331201240
736240221226
oct10164772670
92758124676
101104410040
11517457678
12269a46220
13147a66086
14a6969b16
1566e57910
hex41d3f5b8

1104410040 has 128 divisors (see below), whose sum is σ = 3419781120. Its totient is φ = 285120000.

The previous prime is 1104410039. The next prime is 1104410057. The reversal of 1104410040 is 400144011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 1113945 + ... + 1114935.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 21104410040 is an apocalyptic number.

1104410040 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 1104410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1104410040 is an abundant number, since it is smaller than the sum of its proper divisors (2315371080).

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

1104410040 is a wasteful number, since it uses less digits than its factorization.

1104410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1104410040 is about 33232.6652557390. The cubic root of 1104410040 is about 1033.6577901236.

Adding to 1104410040 its reverse (400144011), we get a palindrome (1504554051).

The spelling of 1104410040 in words is "one billion, one hundred four million, four hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 251 296 370 444 502 555 740 753 888 991 1004 1110 1255 1480 1506 1982 2008 2220 2510 2973 3012 3765 3964 4440 4955 5020 5946 6024 7530 7928 9287 9910 10040 11892 14865 15060 18574 19820 23784 27861 29730 30120 36667 37148 39640 46435 55722 59460 73334 74296 92870 110001 111444 118920 139305 146668 183335 185740 220002 222888 248741 278610 293336 366670 371480 440004 497482 550005 557220 733340 746223 880008 994964 1100010 1114440 1243705 1466680 1492446 1989928 2200020 2487410 2984892 3731115 4400040 4974820 5969784 7462230 9203417 9949640 14924460 18406834 27610251 29848920 36813668 46017085 55220502 73627336 92034170 110441004 138051255 184068340 220882008 276102510 368136680 552205020 1104410040