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108212280 = 233511731123
BaseRepresentation
bin1100111001100…
…11000000111000
321112121202100020
412130303000320
5210200243110
614423210440
72452534461
oct634630070
9245552306
10108212280
11560a0540
12302a6a20
131955a747
141052bd68
159777d70
hex6733038

108212280 has 128 divisors (see below), whose sum is σ = 359320320. Its totient is φ = 25850880.

The previous prime is 108212267. The next prime is 108212287. The reversal of 108212280 is 82212801.

It is a super-3 number, since 3×1082122803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 108212280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108212287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95799 + ... + 96921.

It is an arithmetic number, because the mean of its divisors is an integer number (2807190).

Almost surely, 2108212280 is an apocalyptic number.

108212280 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 108212280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179660160).

108212280 is an abundant number, since it is smaller than the sum of its proper divisors (251108040).

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

108212280 is a wasteful number, since it uses less digits than its factorization.

108212280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 108212280 is about 10402.5131578864. The cubic root of 108212280 is about 476.5321238831.

The spelling of 108212280 in words is "one hundred eight million, two hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1123 1320 1460 1606 1752 2190 2246 2409 2920 3212 3369 4015 4380 4492 4818 5615 6424 6738 8030 8760 8984 9636 11230 12045 12353 13476 16060 16845 19272 22460 24090 24706 26952 32120 33690 37059 44920 48180 49412 61765 67380 74118 81979 96360 98824 123530 134760 148236 163958 185295 245937 247060 296472 327916 370590 409895 491874 494120 655832 741180 819790 901769 983748 1229685 1482360 1639580 1803538 1967496 2459370 2705307 3279160 3607076 4508845 4918740 5410614 7214152 9017690 9837480 10821228 13526535 18035380 21642456 27053070 36070760 54106140 108212280