Search a number
-
+
104412480 = 2635611783
BaseRepresentation
bin1100011100100…
…11010101000000
321021110200222220
412032103111000
5203212144410
614205531040
72405330364
oct616232500
9237420886
10104412480
1153a35707
122ab73a80
131882a043
14dc1d2a4
159277070
hex6393540

104412480 has 112 divisors (see below), whose sum is σ = 337133184. Its totient is φ = 27371520.

The previous prime is 104412457. The next prime is 104412493. The reversal of 104412480 is 84214401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104412480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57669 + ... + 59451.

Almost surely, 2104412480 is an apocalyptic number.

104412480 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 104412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168566592).

104412480 is an abundant number, since it is smaller than the sum of its proper divisors (232720704).

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

104412480 is a wasteful number, since it uses less digits than its factorization.

104412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 104412480 is about 10218.2425103342. The cubic root of 104412480 is about 470.8878344164.

Adding to 104412480 its reverse (84214401), we get a palindrome (188626881).

It can be divided in two parts, 10441 and 2480, that added together give a palindrome (12921).

The spelling of 104412480 in words is "one hundred four million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1783 1830 1952 2440 2928 3566 3660 3904 4880 5349 5856 7132 7320 8915 9760 10698 11712 14264 14640 17830 19520 21396 26745 28528 29280 35660 42792 53490 57056 58560 71320 85584 106980 108763 114112 142640 171168 213960 217526 285280 326289 342336 427920 435052 543815 570560 652578 855840 870104 1087630 1305156 1631445 1711680 1740208 2175260 2610312 3262890 3480416 4350520 5220624 6525780 6960832 8701040 10441248 13051560 17402080 20882496 26103120 34804160 52206240 104412480