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108930720 = 2535229991
BaseRepresentation
bin1100111111000…
…10011010100000
321120222020212010
412133202122200
5210341240340
614450432520
72461616163
oct637423240
9246866763
10108930720
1156541298
1230592740
131974c762
1410677ada
15986ab80
hex67e26a0

108930720 has 96 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 28892160.

The previous prime is 108930671. The next prime is 108930751. The reversal of 108930720 is 27039801.

It is a happy number.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109425 + ... + 110415.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2108930720 is an apocalyptic number.

108930720 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 108930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

108930720 is an abundant number, since it is smaller than the sum of its proper divisors (236047200).

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

108930720 is a wasteful number, since it uses less digits than its factorization.

108930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 108930720 is about 10436.9880712780. The cubic root of 108930720 is about 477.5843915788.

The spelling of 108930720 in words is "one hundred eight million, nine hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 916 991 1145 1374 1832 1982 2290 2748 2973 3435 3664 3964 4580 4955 5496 5946 6870 7328 7928 9160 9910 10992 11892 13740 14865 15856 18320 19820 21984 23784 27480 29730 31712 36640 39640 47568 54960 59460 79280 95136 109920 118920 158560 226939 237840 453878 475680 680817 907756 1134695 1361634 1815512 2269390 2723268 3404085 3631024 4538780 5446536 6808170 7262048 9077560 10893072 13616340 18155120 21786144 27232680 36310240 54465360 108930720