Search a number
-
+
104005824240 = 2435433357601
BaseRepresentation
bin110000011011100111…
…0101110111011110000
3100221110100022022001110
41200313032232323300
53201000442333430
6115440221433320
710341234630243
oct1406716567360
9327410268043
10104005824240
114012163814a
12181a740b840
139a666c0146
14506908d25a
152a8ac607b0
hex18373aeef0

104005824240 has 40 divisors (see below), whose sum is σ = 322418055888. Its totient is φ = 27734886400.

The previous prime is 104005824229. The next prime is 104005824277. The reversal of 104005824240 is 42428500401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1040058242402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104005824198 and 104005824207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216678561 + ... + 216679040.

Almost surely, 2104005824240 is an apocalyptic number.

104005824240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104005824240 is an abundant number, since it is smaller than the sum of its proper divisors (218412231648).

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

104005824240 is a wasteful number, since it uses less digits than its factorization.

104005824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433357617 (or 433357611 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 104005824240 in words is "one hundred four billion, five million, eight hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433357601 866715202 1300072803 1733430404 2166788005 2600145606 3466860808 4333576010 5200291212 6500364015 6933721616 8667152020 10400582424 13000728030 17334304040 20801164848 26001456060 34668608080 52002912120 104005824240