Search a number
-
+
108590020 = 225711107659
BaseRepresentation
bin1100111100011…
…11001111000100
321120022221111121
412132033033010
5210244340040
614435243324
72455666660
oct636171704
9246287447
10108590020
1156329320
1230449544
1319660666
14105c98a0
1597eec4a
hex678f3c4

108590020 has 96 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 33479040.

The previous prime is 108590011. The next prime is 108590039. The reversal of 108590020 is 20095801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164451 + ... + 165109.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2108590020 is an apocalyptic number.

108590020 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 108590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

108590020 is an abundant number, since it is smaller than the sum of its proper divisors (178810940).

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

108590020 is a wasteful number, since it uses less digits than its factorization.

108590020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 108590020 is about 10420.6535303694. The cubic root of 108590020 is about 477.0859618262.

The spelling of 108590020 in words is "one hundred eight million, five hundred ninety thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 535 659 749 770 1070 1177 1318 1498 1540 2140 2354 2636 2996 3295 3745 4613 4708 5885 6590 7249 7490 8239 9226 11770 13180 14498 14980 16478 18452 23065 23540 28996 32956 36245 41195 46130 50743 70513 72490 82390 92260 101486 141026 144980 164780 202972 253715 282052 352565 493591 507430 705130 775643 987182 1014860 1410260 1551286 1974364 2467955 3102572 3878215 4935910 5429501 7756430 9871820 10859002 15512860 21718004 27147505 54295010 108590020