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104075460 = 223252321093
BaseRepresentation
bin1100011010000…
…01000011000100
321020211120200200
412031001003010
5203120403320
614154410500
72402424666
oct615010304
9236746620
10104075460
1153825485
122aa30a30
131873c818
14db72536
15920c290
hex63410c4

104075460 has 108 divisors (see below), whose sum is σ = 330320172. Its totient is φ = 26522496.

The previous prime is 104075459. The next prime is 104075467. The reversal of 104075460 is 64570401.

104075460 = T240 + T241 + ... + T860.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 26071236 = 8832^2 + 5106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104075467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94674 + ... + 95766.

Almost surely, 2104075460 is an apocalyptic number.

104075460 is a gapful number since it is divisible by the number (10) 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 104075460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165160086).

104075460 is an abundant number, since it is smaller than the sum of its proper divisors (226244712).

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

104075460 is a wasteful number, since it uses less digits than its factorization.

104075460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 104075460 is about 10201.7380872085. The cubic root of 104075460 is about 470.3806483258.

The spelling of 104075460 in words is "one hundred four million, seventy-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 529 690 828 1035 1058 1093 1380 1587 2070 2116 2186 2645 3174 3279 4140 4372 4761 5290 5465 6348 6558 7935 9522 9837 10580 10930 13116 15870 16395 19044 19674 21860 23805 25139 31740 32790 39348 47610 49185 50278 65580 75417 95220 98370 100556 125695 150834 196740 226251 251390 301668 377085 452502 502780 578197 754170 905004 1131255 1156394 1508340 1734591 2262510 2312788 2890985 3469182 4525020 5203773 5781970 6938364 8672955 10407546 11563940 17345910 20815092 26018865 34691820 52037730 104075460