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108831120 = 2435547829
BaseRepresentation
bin1100111110010…
…10000110010000
321120210012020020
412133022012100
5210330043440
614444343440
72461022616
oct637120620
9246705206
10108831120
1156483482
1230544b80
1319716318
141064d6b6
15984b3d0
hex67ca190

108831120 has 80 divisors (see below), whose sum is σ = 338400960. Its totient is φ = 28933632.

The previous prime is 108831109. The next prime is 108831133. The reversal of 108831120 is 21138801.

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

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

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, 130866 + ... + 131694.

It is an arithmetic number, because the mean of its divisors is an integer number (4230012).

Almost surely, 2108831120 is an apocalyptic number.

108831120 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 108831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169200480).

108831120 is an abundant number, since it is smaller than the sum of its proper divisors (229569840).

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

108831120 is a wasteful number, since it uses less digits than its factorization.

108831120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 108831120 is about 10432.2154885719. The cubic root of 108831120 is about 477.4387886047.

Adding to 108831120 its reverse (21138801), we get a palindrome (129969921).

The spelling of 108831120 in words is "one hundred eight million, eight hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547 829 1094 1641 1658 2188 2487 2735 3282 3316 4145 4376 4974 5470 6564 6632 8205 8290 8752 9948 10940 12435 13128 13264 16410 16580 19896 21880 24870 26256 32820 33160 39792 43760 49740 65640 66320 99480 131280 198960 453463 906926 1360389 1813852 2267315 2720778 3627704 4534630 5441556 6801945 7255408 9069260 10883112 13603890 18138520 21766224 27207780 36277040 54415560 108831120