Search a number
-
+
104024040 = 23357910973
BaseRepresentation
bin1100011001101…
…00011111101000
321020201222011020
412030310133220
5203112232130
614153332440
72402122041
oct614643750
9236658136
10104024040
115379a88a
122aa07120
13187222b3
14db5b8c8
1591ebe10
hex63347e8

104024040 has 64 divisors (see below), whose sum is σ = 316051200. Its totient is φ = 27386112.

The previous prime is 104024029. The next prime is 104024047. The reversal of 104024040 is 40420401.

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

It is not an unprimeable number, because it can be changed into a prime (104024047) 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, 3994 + ... + 14966.

It is an arithmetic number, because the mean of its divisors is an integer number (4938300).

Almost surely, 2104024040 is an apocalyptic number.

104024040 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 104024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158025600).

104024040 is an abundant number, since it is smaller than the sum of its proper divisors (212027160).

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

104024040 is a wasteful number, since it uses less digits than its factorization.

104024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 104024040 is about 10199.2176170528. The cubic root of 104024040 is about 470.3031694230.

Adding to 104024040 its reverse (40420401), we get a palindrome (144444441).

The spelling of 104024040 in words is "one hundred four million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 10973 21946 32919 43892 54865 65838 87784 109730 131676 164595 219460 263352 329190 438920 658380 866867 1316760 1733734 2600601 3467468 4334335 5201202 6934936 8668670 10402404 13003005 17337340 20804808 26006010 34674680 52012020 104024040