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104114120 = 235111731449
BaseRepresentation
bin1100011010010…
…10011111001000
321020220112201112
412031022133020
5203123122440
614155305452
72402645465
oct615123710
9236815645
10104114120
1153851530
122aa4b288
13187542b6
14db8266c
159218965
hex634a7c8

104114120 has 128 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 34406400.

The previous prime is 104114119. The next prime is 104114159. The reversal of 104114120 is 21411401.

It is a junction number, because it is equal to n+sod(n) for n = 104114095 and 104114104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231656 + ... + 232104.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 2104114120 is an apocalyptic number.

104114120 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 104114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

104114120 is an abundant number, since it is smaller than the sum of its proper divisors (175821880).

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

104114120 is a wasteful number, since it uses less digits than its factorization.

104114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 104114120 is about 10203.6326864504. The cubic root of 104114120 is about 470.4388838428.

Adding to 104114120 its reverse (21411401), we get a palindrome (125525521).

The spelling of 104114120 in words is "one hundred four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 31 34 40 44 55 62 68 85 88 110 124 136 155 170 187 220 248 310 340 341 374 440 449 527 620 680 682 748 898 935 1054 1240 1364 1496 1705 1796 1870 2108 2245 2635 2728 3410 3592 3740 4216 4490 4939 5270 5797 6820 7480 7633 8980 9878 10540 11594 13640 13919 15266 17960 19756 21080 23188 24695 27838 28985 30532 38165 39512 46376 49390 55676 57970 61064 69595 76330 83963 98780 111352 115940 139190 152660 153109 167926 197560 231880 236623 278380 305320 306218 335852 419815 473246 556760 612436 671704 765545 839630 946492 1183115 1224872 1531090 1679260 1892984 2366230 2602853 3062180 3358520 4732460 5205706 6124360 9464920 10411412 13014265 20822824 26028530 52057060 104114120