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108229120 = 29567631
BaseRepresentation
bin1100111001101…
…11001000000000
321112122121102221
412130313020000
5210201312440
614423420424
72452634536
oct634671000
9245577387
10108229120
115610215a
12302b4714
13195652cc
1410534156
15977cd4a
hex6737200

108229120 has 80 divisors (see below), whose sum is σ = 263786688. Its totient is φ = 42577920.

The previous prime is 108229087. The next prime is 108229141. The reversal of 108229120 is 21922801.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 171205 + ... + 171835.

Almost surely, 2108229120 is an apocalyptic number.

108229120 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 108229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893344).

108229120 is an abundant number, since it is smaller than the sum of its proper divisors (155557568).

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

108229120 is an frugal number, since it uses more digits than its factorization.

108229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 108229120 is about 10403.3225461869. The cubic root of 108229120 is about 476.5568419180.

The spelling of 108229120 in words is "one hundred eight million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 631 640 670 1072 1262 1280 1340 2144 2524 2560 2680 3155 4288 5048 5360 6310 8576 10096 10720 12620 17152 20192 21440 25240 34304 40384 42277 42880 50480 80768 84554 85760 100960 161536 169108 171520 201920 211385 323072 338216 403840 422770 676432 807680 845540 1352864 1615360 1691080 2705728 3382160 5411456 6764320 10822912 13528640 21645824 27057280 54114560 108229120