Search a number
-
+
108241320 = 233511431907
BaseRepresentation
bin1100111001110…
…10000110101000
321112200020011210
412130322012220
5210202210240
614423553120
72453015235
oct634720650
9245606153
10108241320
1156110340
12302bb7a0
131956aa25
141053878c
159781780
hex673a1a8

108241320 has 128 divisors (see below), whose sum is σ = 362672640. Its totient is φ = 25616640.

The previous prime is 108241319. The next prime is 108241321. The reversal of 108241320 is 23142801.

It is an interprime number because it is at equal distance from previous prime (108241319) and next prime (108241321).

It is not an unprimeable number, because it can be changed into a prime (108241321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55807 + ... + 57713.

It is an arithmetic number, because the mean of its divisors is an integer number (2833380).

Almost surely, 2108241320 is an apocalyptic number.

108241320 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 108241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181336320).

108241320 is an abundant number, since it is smaller than the sum of its proper divisors (254431320).

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

108241320 is a wasteful number, since it uses less digits than its factorization.

108241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 108241320 is about 10403.9088808005. The cubic root of 108241320 is about 476.5747476813.

The spelling of 108241320 in words is "one hundred eight million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 1907 2365 2580 2838 3784 3814 4730 5160 5676 5721 7095 7628 9460 9535 11352 11442 14190 15256 18920 19070 20977 22884 28380 28605 38140 41954 45768 56760 57210 62931 76280 82001 83908 104885 114420 125862 164002 167816 209770 228840 246003 251724 314655 328004 410005 419540 492006 503448 629310 656008 820010 839080 902011 984012 1230015 1258620 1640020 1804022 1968024 2460030 2517240 2706033 3280040 3608044 4510055 4920060 5412066 7216088 9020110 9840120 10824132 13530165 18040220 21648264 27060330 36080440 54120660 108241320