Search a number
-
+
108653120 = 2651719973
BaseRepresentation
bin1100111100111…
…10101001000000
321120110011001122
412132132221000
5210303344440
614440451412
72456351642
oct636365100
9246404048
10108653120
1156371774
1230479b68
13196832b4
1410604892
1598137b5
hex679ea40

108653120 has 56 divisors (see below), whose sum is σ = 273963384. Its totient is φ = 40902656.

The previous prime is 108653119. The next prime is 108653159. The reversal of 108653120 is 21356801.

It can be written as a sum of positive squares in 4 ways, for example, as 17106496 + 91546624 = 4136^2 + 9568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 108653120.

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 7 ways as a sum of consecutive naturals, for example, 4547 + ... + 15426.

Almost surely, 2108653120 is an apocalyptic number.

108653120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108653120 is an abundant number, since it is smaller than the sum of its proper divisors (165310264).

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

108653120 is a wasteful number, since it uses less digits than its factorization.

108653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20007 (or 19997 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 108653120 is about 10423.6807318720. The cubic root of 108653120 is about 477.1783530517.

The spelling of 108653120 in words is "one hundred eight million, six hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 19973 39946 79892 99865 159784 199730 319568 339541 399460 639136 679082 798920 1278272 1358164 1597840 1697705 2716328 3195680 3395410 5432656 6391360 6790820 10865312 13581640 21730624 27163280 54326560 108653120