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108720432 = 24321979503
BaseRepresentation
bin1100111101011…
…11000100110000
321120120120101200
412132233010300
5210313023212
614442131200
72460052122
oct636570460
9246516350
10108720432
11564082a7
12304b0b00
13196a7b22
1410621212
1598286dc
hex67af130

108720432 has 120 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 33830784.

The previous prime is 108720427. The next prime is 108720439. The reversal of 108720432 is 234027801.

It is a junction number, because it is equal to n+sod(n) for n = 108720396 and 108720405.

It is not an unprimeable number, because it can be changed into a prime (108720439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215893 + ... + 216395.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2108720432 is an apocalyptic number.

108720432 is a gapful number since it is divisible by the number (12) 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 108720432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

108720432 is an abundant number, since it is smaller than the sum of its proper divisors (216258768).

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

108720432 is a wasteful number, since it uses less digits than its factorization.

108720432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 108720432 is about 10426.9090338412. The cubic root of 108720432 is about 477.2768720778.

The spelling of 108720432 in words is "one hundred eight million, seven hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 79 114 144 152 158 171 228 237 304 316 342 456 474 503 632 684 711 912 948 1006 1264 1368 1422 1501 1509 1896 2012 2736 2844 3002 3018 3792 4024 4503 4527 5688 6004 6036 8048 9006 9054 9557 11376 12008 12072 13509 18012 18108 19114 24016 24144 27018 28671 36024 36216 38228 39737 54036 57342 72048 72432 76456 79474 86013 108072 114684 119211 152912 158948 172026 216144 229368 238422 317896 344052 357633 458736 476844 635792 688104 715266 755003 953688 1376208 1430532 1510006 1907376 2265009 2861064 3020012 4530018 5722128 6040024 6795027 9060036 12080048 13590054 18120072 27180108 36240144 54360216 108720432