Search a number
-
+
104310024 = 23372136823
BaseRepresentation
bin1100011011110…
…10010100001000
321021021111110020
412031322110020
5203200410044
614203420440
72404422600
oct615722410
9237244406
10104310024
1153975735
122ab24720
13187c2510
14dbd3c00
159256a19
hex637a508

104310024 has 96 divisors (see below), whose sum is σ = 326733120. Its totient is φ = 27506304.

The previous prime is 104310023. The next prime is 104310049. The reversal of 104310024 is 420013401.

It is a super-2 number, since 2×1043100242 = 21761162213761152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104309985 and 104310012.

It is not an unprimeable number, because it can be changed into a prime (104310023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11877 + ... + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (3403470).

Almost surely, 2104310024 is an apocalyptic number.

104310024 is a gapful number since it is divisible by the number (14) 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 104310024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163366560).

104310024 is an abundant number, since it is smaller than the sum of its proper divisors (222423096).

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

104310024 is a wasteful number, since it uses less digits than its factorization.

104310024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6848 counting only the distinct ones).

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

The square root of 104310024 is about 10213.2278932764. The cubic root of 104310024 is about 470.7337625628.

Adding to 104310024 its reverse (420013401), we get a palindrome (524323425).

The spelling of 104310024 in words is "one hundred four million, three hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 6823 7644 13646 15288 20469 27292 40938 47761 54584 81876 88699 95522 143283 163752 177398 191044 266097 286566 334327 354796 382088 532194 573132 620893 668654 709592 1002981 1064388 1146264 1241786 1337308 1862679 2005962 2128776 2483572 2674616 3725358 4011924 4346251 4967144 7450716 8023848 8692502 13038753 14901432 17385004 26077506 34770008 52155012 104310024