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104055424 = 2711263281
BaseRepresentation
bin1100011001111…
…00001010000000
321020210120012121
412030330022000
5203114233144
614154134024
72402312404
oct614741200
9236716177
10104055424
1153811420
122aa21314
1318733675
14db69104
159206384
hex633c280

104055424 has 64 divisors (see below), whose sum is σ = 227810880. Its totient is φ = 46950400.

The previous prime is 104055407. The next prime is 104055431. The reversal of 104055424 is 424550401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 370164 + ... + 370444.

It is an arithmetic number, because the mean of its divisors is an integer number (3559545).

Almost surely, 2104055424 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 104055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113905440).

104055424 is an abundant number, since it is smaller than the sum of its proper divisors (123755456).

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

104055424 is a wasteful number, since it uses less digits than its factorization.

104055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 104055424 is about 10200.7560504112. The cubic root of 104055424 is about 470.3504614098.

The spelling of 104055424 in words is "one hundred four million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 263 281 352 526 562 704 1052 1124 1408 2104 2248 2893 3091 4208 4496 5786 6182 8416 8992 11572 12364 16832 17984 23144 24728 33664 35968 46288 49456 73903 92576 98912 147806 185152 197824 295612 370304 395648 591224 812933 1182448 1625866 2364896 3251732 4729792 6503464 9459584 13006928 26013856 52027712 104055424