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108419040 = 2533525097
BaseRepresentation
bin1100111011001…
…01011111100000
321120000020222000
412131211133200
5210223402130
614431444000
72454355332
oct635453740
9246006860
10108419040
1156221914
1230386600
13196008a2
1410583452
1597b9260
hex67657e0

108419040 has 96 divisors (see below), whose sum is σ = 379481760. Its totient is φ = 28910592.

The previous prime is 108419009. The next prime is 108419063. The reversal of 108419040 is 40914801.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 108418995 and 108419013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (3952935).

Almost surely, 2108419040 is an apocalyptic number.

108419040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108419040 is an abundant number, since it is smaller than the sum of its proper divisors (271062720).

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

108419040 is a wasteful number, since it uses less digits than its factorization.

108419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25121 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108419040 is about 10412.4463984215. The cubic root of 108419040 is about 476.8354323323.

It can be divided in two parts, 10841 and 9040, that added together give a square (19881 = 1412).

The spelling of 108419040 in words is "one hundred eight million, four hundred nineteen thousand, forty".

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 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 25097 50194 75291 100388 125485 150582 200776 225873 250970 301164 376455 401552 451746 501940 602328 677619 752910 803104 903492 1003880 1129365 1204656 1355238 1505820 1806984 2007760 2258730 2409312 2710476 3011640 3388095 3613968 4015520 4517460 5420952 6023280 6776190 7227936 9034920 10841904 12046560 13552380 18069840 21683808 27104760 36139680 54209520 108419040