Search a number
-
+
104423904 = 2535131033
BaseRepresentation
bin1100011100101…
…10000111100000
321021111021200000
412032112013200
5203213031104
614210100000
72405405604
oct616260740
9237437600
10104423904
1153a43252
122ab7a600
13188322c0
14dc23504
15927a639
hex63961e0

104423904 has 144 divisors (see below), whose sum is σ = 331963632. Its totient is φ = 32099328.

The previous prime is 104423873. The next prime is 104423927. The reversal of 104423904 is 409324401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100572 + ... + 101604.

It is an arithmetic number, because the mean of its divisors is an integer number (2305303).

Almost surely, 2104423904 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 104423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165981816).

104423904 is an abundant number, since it is smaller than the sum of its proper divisors (227539728).

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

104423904 is a wasteful number, since it uses less digits than its factorization.

104423904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104423904 is about 10218.8014952831. The cubic root of 104423904 is about 470.9050074160.

The spelling of 104423904 in words is "one hundred four million, four hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1033 1053 1248 1296 1404 1872 1944 2066 2106 2592 2808 3099 3159 3744 3888 4132 4212 5616 6198 6318 7776 8264 8424 9297 11232 12396 12636 13429 16528 16848 18594 24792 25272 26858 27891 33056 33696 37188 40287 49584 50544 53716 55782 74376 80574 83673 99168 101088 107432 111564 120861 148752 161148 167346 214864 223128 241722 251019 297504 322296 334692 362583 429728 446256 483444 502038 644592 669384 725166 892512 966888 1004076 1087749 1289184 1338768 1450332 1933776 2008152 2175498 2677536 2900664 3263247 3867552 4016304 4350996 5801328 6526494 8032608 8701992 11602656 13052988 17403984 26105976 34807968 52211952 104423904