Search a number
-
+
104125760 = 265714583
BaseRepresentation
bin1100011010011…
…01010101000000
321020221010200122
412031031111000
5203124011020
614155435412
72403024434
oct615152500
9236833618
10104125760
115385a252
122aa55b68
131875969b
14db869c4
15921c125
hex634d540

104125760 has 56 divisors (see below), whose sum is σ = 251496576. Its totient is φ = 41054720.

The previous prime is 104125753. The next prime is 104125781. The reversal of 104125760 is 67521401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20429 + ... + 25011.

Almost surely, 2104125760 is an apocalyptic number.

104125760 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 104125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125748288).

104125760 is an abundant number, since it is smaller than the sum of its proper divisors (147370816).

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

104125760 is an equidigital number, since it uses as much as digits as its factorization.

104125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 104125760 is about 10204.2030556041. The cubic root of 104125760 is about 470.4564149409.

The spelling of 104125760 in words is "one hundred four million, one hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 4583 5680 9166 11360 18332 22720 22915 36664 45830 73328 91660 146656 183320 293312 325393 366640 650786 733280 1301572 1466560 1626965 2603144 3253930 5206288 6507860 10412576 13015720 20825152 26031440 52062880 104125760