Search a number
-
+
104258160 = 24325891627
BaseRepresentation
bin1100011011011…
…01101001110000
321021011212022100
412031231221300
5203142230120
614202340400
72404115436
oct615555160
9237155270
10104258160
115393a776
122aaba700
13187a4a26
14dbbcd56
159246490
hex636da70

104258160 has 120 divisors (see below), whose sum is σ = 354285360. Its totient is φ = 27472896.

The previous prime is 104258137. The next prime is 104258171. The reversal of 104258160 is 61852401.

It is a tau number, because it is divible by the number of its divisors (120).

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, 63267 + ... + 64893.

It is an arithmetic number, because the mean of its divisors is an integer number (2952378).

Almost surely, 2104258160 is an apocalyptic number.

104258160 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 104258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177142680).

104258160 is an abundant number, since it is smaller than the sum of its proper divisors (250027200).

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

104258160 is a wasteful number, since it uses less digits than its factorization.

104258160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 104258160 is about 10210.6885174311. The cubic root of 104258160 is about 470.6557317646.

The spelling of 104258160 in words is "one hundred four million, two hundred fifty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1627 1780 2136 2670 3204 3254 3560 4005 4272 4881 5340 6408 6508 7120 8010 8135 9762 10680 12816 13016 14643 16020 16270 19524 21360 24405 26032 29286 32040 32540 39048 48810 58572 64080 65080 73215 78096 97620 117144 130160 144803 146430 195240 234288 289606 292860 390480 434409 579212 585720 724015 868818 1158424 1171440 1303227 1448030 1737636 2172045 2316848 2606454 2896060 3475272 4344090 5212908 5792120 6516135 6950544 8688180 10425816 11584240 13032270 17376360 20851632 26064540 34752720 52129080 104258160