Search a number
-
+
104054240 = 25547101137
BaseRepresentation
bin1100011001110…
…11110111100000
321020210111120202
412030323313200
5203114213430
614154124332
72402306063
oct614736740
9236714522
10104054240
1153810544
122aa206a8
1318732c74
14db688da
159205d45
hex633bde0

104054240 has 96 divisors (see below), whose sum is σ = 255394944. Its totient is φ = 40038400.

The previous prime is 104054239. The next prime is 104054257. The reversal of 104054240 is 42450401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759452 + ... + 759588.

It is an arithmetic number, because the mean of its divisors is an integer number (2660364).

Almost surely, 2104054240 is an apocalyptic number.

104054240 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 104054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127697472).

104054240 is an abundant number, since it is smaller than the sum of its proper divisors (151340704).

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

104054240 is a wasteful number, since it uses less digits than its factorization.

104054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 104054240 is about 10200.6980153321. The cubic root of 104054240 is about 470.3486774340.

The spelling of 104054240 in words is "one hundred four million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 101 137 160 188 202 235 274 376 404 470 505 548 685 752 808 940 1010 1096 1370 1504 1616 1880 2020 2192 2740 3232 3760 4040 4384 4747 5480 6439 7520 8080 9494 10960 12878 13837 16160 18988 21920 23735 25756 27674 32195 37976 47470 51512 55348 64390 69185 75952 94940 103024 110696 128780 138370 151904 189880 206048 221392 257560 276740 379760 442784 515120 553480 650339 759520 1030240 1106960 1300678 2213920 2601356 3251695 5202712 6503390 10405424 13006780 20810848 26013560 52027120 104054240