Search a number
-
+
104140320 = 2535239433
BaseRepresentation
bin1100011010100…
…00111000100000
321020221212122220
412031100320200
5203124442240
614200031040
72403115044
oct615207040
9236855586
10104140320
115386a189
122aa62480
13187631bb
14db8c024
1592215d0
hex6350e20

104140320 has 96 divisors (see below), whose sum is σ = 342340992. Its totient is φ = 26560512.

The previous prime is 104140301. The next prime is 104140327. The reversal of 104140320 is 23041401.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 104140320.

It is not an unprimeable number, because it can be changed into a prime (104140327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6324 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (3566052).

Almost surely, 2104140320 is an apocalyptic number.

104140320 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 104140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171170496).

104140320 is an abundant number, since it is smaller than the sum of its proper divisors (238200672).

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

104140320 is a wasteful number, since it uses less digits than its factorization.

104140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104140320 is about 10204.9164621765. The cubic root of 104140320 is about 470.4783420355.

Adding to 104140320 its reverse (23041401), we get a palindrome (127181721).

The spelling of 104140320 in words is "one hundred four million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 9433 11040 18866 28299 37732 47165 56598 75464 94330 113196 141495 150928 188660 216959 226392 282990 301856 377320 433918 452784 565980 650877 754640 867836 905568 1084795 1131960 1301754 1509280 1735672 2169590 2263920 2603508 3254385 3471344 4339180 4527840 5207016 6508770 6942688 8678360 10414032 13017540 17356720 20828064 26035080 34713440 52070160 104140320