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104136480 = 25325710331
BaseRepresentation
bin1100011010011…
…11111100100000
321020221200101200
412031033330200
5203124331410
614200001200
72403100620
oct615177440
9236850350
10104136480
1153867308
122aa60200
1318761526
14db8a880
1592203c0
hex634ff20

104136480 has 144 divisors (see below), whose sum is σ = 406171584. Its totient is φ = 23800320.

The previous prime is 104136469. The next prime is 104136499. The reversal of 104136480 is 84631401.

104136480 is a `hidden beast` number, since 1 + 0 + 4 + 13 + 648 + 0 = 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, 4915 + ... + 15245.

It is an arithmetic number, because the mean of its divisors is an integer number (2820636).

Almost surely, 2104136480 is an apocalyptic number.

104136480 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 104136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203085792).

104136480 is an abundant number, since it is smaller than the sum of its proper divisors (302035104).

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

104136480 is a wasteful number, since it uses less digits than its factorization.

104136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10348 counting only the distinct ones).

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

The square root of 104136480 is about 10204.7283158348. The cubic root of 104136480 is about 470.4725592639.

Adding to 104136480 its reverse (84631401), we get a palindrome (188767881).

The spelling of 104136480 in words is "one hundred four million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 10331 20662 30993 41324 51655 61986 72317 82648 92979 103310 123972 144634 154965 165296 185958 206620 216951 247944 289268 309930 330592 361585 371916 413240 433902 464895 495888 578536 619860 650853 723170 743832 826480 867804 929790 991776 1084755 1157072 1239720 1301706 1446340 1487664 1652960 1735608 1859580 2169510 2314144 2479440 2603412 2892680 2975328 3254265 3471216 3719160 4339020 4958880 5206824 5785360 6508530 6942432 7438320 8678040 10413648 11570720 13017060 14876640 17356080 20827296 26034120 34712160 52068240 104136480