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104470560 = 253552687
BaseRepresentation
bin1100011101000…
…01100000100000
321021120122200000
412032201200200
5203221024220
614211100000
72405661615
oct616414040
9237518600
10104470560
1153a75307
122aba1600
131884a5cc
14dc3650c
159289390
hex63a1820

104470560 has 144 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 27848448.

The previous prime is 104470547. The next prime is 104470567. The reversal of 104470560 is 65074401.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (104470567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37537 + ... + 40223.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2104470560 is an apocalyptic number.

104470560 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 104470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

104470560 is an abundant number, since it is smaller than the sum of its proper divisors (265376736).

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

104470560 is an equidigital number, since it uses as much as digits as its factorization.

104470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2697 counting only the distinct ones).

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

The square root of 104470560 is about 10221.0840912302. The cubic root of 104470560 is about 470.9751295237.

The spelling of 104470560 in words is "one hundred four million, four hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 2687 3240 3888 4320 4860 5374 6480 7776 8061 9720 10748 12960 13435 16122 19440 21496 24183 26870 32244 38880 40305 42992 48366 53740 64488 72549 80610 85984 96732 107480 120915 128976 145098 161220 193464 214960 217647 241830 257952 290196 322440 362745 386928 429920 435294 483660 580392 644880 652941 725490 773856 870588 967320 1088235 1160784 1289760 1305882 1450980 1741176 1934640 2176470 2321568 2611764 2901960 3264705 3482352 3869280 4352940 5223528 5803920 6529410 6964704 8705880 10447056 11607840 13058820 17411760 20894112 26117640 34823520 52235280 104470560