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104243424 = 2531967853
BaseRepresentation
bin1100011011010…
…10000011100000
321021011010002120
412031222003200
5203141242144
614202144240
72404024455
oct615520340
9237133076
10104243424
115392a69a
122aab2080
131879b0cc
14dbb782c
159241e19
hex636a0e0

104243424 has 96 divisors (see below), whose sum is σ = 292682880. Its totient is φ = 32389632.

The previous prime is 104243417. The next prime is 104243453. The reversal of 104243424 is 424342401.

It is a happy number.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 104243394 and 104243403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121782 + ... + 122634.

It is an arithmetic number, because the mean of its divisors is an integer number (3048780).

Almost surely, 2104243424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146341440).

104243424 is an abundant number, since it is smaller than the sum of its proper divisors (188439456).

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

104243424 is a wasteful number, since it uses less digits than its factorization.

104243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 104243424 is about 10209.9668951471. The cubic root of 104243424 is about 470.6335563312.

Adding to 104243424 its reverse (424342401), we get a palindrome (528585825).

The spelling of 104243424 in words is "one hundred four million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 853 912 1072 1273 1608 1706 1824 2144 2546 2559 3216 3412 3819 5092 5118 6432 6824 7638 10184 10236 13648 15276 16207 20368 20472 27296 30552 32414 40736 40944 48621 57151 61104 64828 81888 97242 114302 122208 129656 171453 194484 228604 259312 342906 388968 457208 518624 685812 777936 914416 1085869 1371624 1555872 1828832 2171738 2743248 3257607 4343476 5486496 6515214 8686952 13030428 17373904 26060856 34747808 52121712 104243424