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104480280 = 233653583
BaseRepresentation
bin1100011101000…
…11111000011000
321021121011000000
412032203320120
5203221332110
614211213000
72406032142
oct616437030
9237534000
10104480280
1153a81643
122aba7160
1318851b68
14dc39c92
15928c1c0
hex63a3e18

104480280 has 112 divisors (see below), whose sum is σ = 352558080. Its totient is φ = 27853632.

The previous prime is 104480279. The next prime is 104480287. The reversal of 104480280 is 82084401.

104480280 is a `hidden beast` number, since 104 + 480 + 2 + 80 = 666.

It is a super-2 number, since 2×1044802802 = 21832257817756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104480287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27369 + ... + 30951.

It is an arithmetic number, because the mean of its divisors is an integer number (3147840).

Almost surely, 2104480280 is an apocalyptic number.

104480280 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 104480280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176279040).

104480280 is an abundant number, since it is smaller than the sum of its proper divisors (248077800).

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

104480280 is an equidigital number, since it uses as much as digits as its factorization.

104480280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 104480280 is about 10221.5595678937. The cubic root of 104480280 is about 470.9897356682.

The spelling of 104480280 in words is "one hundred four million, four hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3583 3645 4860 5832 7166 7290 9720 10749 14332 14580 17915 21498 28664 29160 32247 35830 42996 53745 64494 71660 85992 96741 107490 128988 143320 161235 193482 214980 257976 290223 322470 386964 429960 483705 580446 644940 773928 870669 967410 1160892 1289880 1451115 1741338 1934820 2321784 2612007 2902230 3482676 3869640 4353345 5224014 5804460 6965352 8706690 10448028 11608920 13060035 17413380 20896056 26120070 34826760 52240140 104480280