Search a number
-
+
104600440 = 23571792087
BaseRepresentation
bin1100011110000…
…01001101111000
321021211020211101
412033001031320
5203234203230
614213541144
72410042360
oct617011570
9237736741
10104600440
115405394a
122b0447b4
1318894769
14dc6b9a0
1592b2aca
hex63c1378

104600440 has 64 divisors (see below), whose sum is σ = 270604800. Its totient is φ = 35645568.

The previous prime is 104600437. The next prime is 104600513. The reversal of 104600440 is 44006401.

It is a super-3 number, since 3×1046004403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49077 + ... + 51163.

It is an arithmetic number, because the mean of its divisors is an integer number (4228200).

Almost surely, 2104600440 is an apocalyptic number.

104600440 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 104600440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135302400).

104600440 is an abundant number, since it is smaller than the sum of its proper divisors (166004360).

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

104600440 is a wasteful number, since it uses less digits than its factorization.

104600440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 104600440 is about 10227.4356512275. The cubic root of 104600440 is about 471.1702240969.

Adding to 104600440 its reverse (44006401), we get a palindrome (148606841).

The spelling of 104600440 in words is "one hundred four million, six hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2087 2506 3580 4174 5012 6265 7160 8348 10024 10435 12530 14609 16696 20870 25060 29218 41740 50120 58436 73045 83480 116872 146090 292180 373573 584360 747146 1494292 1867865 2615011 2988584 3735730 5230022 7471460 10460044 13075055 14942920 20920088 26150110 52300220 104600440