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104236128 = 25321943443
BaseRepresentation
bin1100011011010…
…00010001100000
321021010202002100
412031220101200
5203141024003
614202050400
72403664263
oct615502140
9237122070
10104236128
1153925167
122aaa9a00
13187979a9
14dbb4cda
15923eba3
hex6368460

104236128 has 144 divisors (see below), whose sum is σ = 319999680. Its totient is φ = 32078592.

The previous prime is 104236081. The next prime is 104236151. The reversal of 104236128 is 821632401.

104236128 is a `hidden beast` number, since 1 + 0 + 42 + 3 + 612 + 8 = 666.

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

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, 235075 + ... + 235517.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 2104236128 is an apocalyptic number.

104236128 is a gapful number since it is divisible by the number (18) 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 104236128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999840).

104236128 is an abundant number, since it is smaller than the sum of its proper divisors (215763552).

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

104236128 is a wasteful number, since it uses less digits than its factorization.

104236128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104236128 is about 10209.6095909687. The cubic root of 104236128 is about 470.6225761900.

Adding to 104236128 its reverse (821632401), we get a palindrome (925868529).

The spelling of 104236128 in words is "one hundred four million, two hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 72 76 86 96 114 129 144 152 171 172 228 258 288 304 342 344 387 443 456 516 608 684 688 774 817 886 912 1032 1329 1368 1376 1548 1634 1772 1824 2064 2451 2658 2736 3096 3268 3544 3987 4128 4902 5316 5472 6192 6536 7088 7353 7974 8417 9804 10632 12384 13072 14176 14706 15948 16834 19049 19608 21264 25251 26144 29412 31896 33668 38098 39216 42528 50502 57147 58824 63792 67336 75753 76196 78432 101004 114294 117648 127584 134672 151506 152392 171441 202008 228588 235296 269344 303012 304784 342882 361931 404016 457176 606024 609568 685764 723862 808032 914352 1085793 1212048 1371528 1447724 1828704 2171586 2424096 2743056 2895448 3257379 4343172 5486112 5790896 6514758 8686344 11581792 13029516 17372688 26059032 34745376 52118064 104236128