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104441232 = 24373137271
BaseRepresentation
bin1100011100110…
…10010110010000
321021112011102210
412032122112100
5203214104412
614210312120
72405510250
oct616322620
9237464383
10104441232
1153a55275
122ab88640
131883a15c
14dc29960
15928083c
hex639a590

104441232 has 160 divisors (see below), whose sum is σ = 328105984. Its totient is φ = 27993600.

The previous prime is 104441219. The next prime is 104441243. The reversal of 104441232 is 232144401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 104441199 and 104441208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385257 + ... + 385527.

Almost surely, 2104441232 is an apocalyptic number.

104441232 is a gapful number since it is divisible by the number (12) 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 104441232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052992).

104441232 is an abundant number, since it is smaller than the sum of its proper divisors (223664752).

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

104441232 is a wasteful number, since it uses less digits than its factorization.

104441232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104441232 is about 10219.6493090517. The cubic root of 104441232 is about 470.9310531468.

Adding to 104441232 its reverse (232144401), we get a palindrome (336585633).

The spelling of 104441232 in words is "one hundred four million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 271 296 336 372 434 444 496 518 542 592 651 744 777 813 868 888 1036 1084 1147 1302 1488 1554 1626 1736 1776 1897 2072 2168 2294 2604 3108 3252 3441 3472 3794 4144 4336 4588 5208 5691 6216 6504 6882 7588 8029 8401 9176 10027 10416 11382 12432 13008 13764 15176 16058 16802 18352 20054 22764 24087 25203 27528 30081 30352 32116 33604 40108 45528 48174 50406 55056 58807 60162 64232 67208 70189 80216 91056 96348 100812 117614 120324 128464 134416 140378 160432 176421 192696 201624 210567 235228 240648 280756 310837 352842 385392 403248 421134 470456 481296 561512 621674 705684 842268 932511 940912 1123024 1243348 1411368 1684536 1865022 2175859 2486696 2822736 3369072 3730044 4351718 4973392 6527577 7460088 8703436 13055154 14920176 17406872 26110308 34813744 52220616 104441232