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108468480 = 283547601
BaseRepresentation
bin1100111011100…
…01100100000000
321120002202210010
412131301210000
5210231442410
614432504520
72454652431
oct635614400
9246082703
10108468480
1156255a7a
12303ab140
131961a243
1410597488
1597c8c20
hex6771900

108468480 has 144 divisors (see below), whose sum is σ = 354380544. Its totient is φ = 28262400.

The previous prime is 108468463. The next prime is 108468487. The reversal of 108468480 is 84864801.

It is a super-2 number, since 2×1084684802 = 23530822307020800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108468487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180180 + ... + 180780.

It is an arithmetic number, because the mean of its divisors is an integer number (2460976).

Almost surely, 2108468480 is an apocalyptic number.

108468480 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 108468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177190272).

108468480 is an abundant number, since it is smaller than the sum of its proper divisors (245912064).

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

108468480 is an equidigital number, since it uses as much as digits as its factorization.

108468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 108468480 is about 10414.8202096820. The cubic root of 108468480 is about 476.9079016490.

The spelling of 108468480 in words is "one hundred eight million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 601 640 705 752 768 940 960 1128 1202 1280 1410 1504 1803 1880 1920 2256 2404 2820 3005 3008 3606 3760 3840 4512 4808 5640 6010 6016 7212 7520 9015 9024 9616 11280 12020 12032 14424 15040 18030 18048 19232 22560 24040 28247 28848 30080 36060 36096 38464 45120 48080 56494 57696 60160 72120 76928 84741 90240 96160 112988 115392 141235 144240 153856 169482 180480 192320 225976 230784 282470 288480 338964 384640 423705 451952 461568 564940 576960 677928 769280 847410 903904 1129880 1153920 1355856 1694820 1807808 2259760 2307840 2711712 3389640 3615616 4519520 5423424 6779280 7231232 9039040 10846848 13558560 18078080 21693696 27117120 36156160 54234240 108468480