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108182340 = 223257233733
BaseRepresentation
bin1100111001010…
…11101101000100
321112120020021100
412130223231010
5210143313330
614422420100
72452351260
oct634535504
9245506240
10108182340
115607aaa2
1230291630
1319549c26
14105210a0
15976e060
hex672bb44

108182340 has 144 divisors (see below), whose sum is σ = 391442688. Its totient is φ = 23645952.

The previous prime is 108182329. The next prime is 108182357. The reversal of 108182340 is 43281801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27114 + ... + 30846.

It is an arithmetic number, because the mean of its divisors is an integer number (2718352).

Almost surely, 2108182340 is an apocalyptic number.

108182340 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 108182340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195721344).

108182340 is an abundant number, since it is smaller than the sum of its proper divisors (283260348).

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

108182340 is a wasteful number, since it uses less digits than its factorization.

108182340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108182340 is about 10401.0739830077. The cubic root of 108182340 is about 476.4881711148.

The spelling of 108182340 in words is "one hundred eight million, one hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 3733 4140 4830 5796 7245 7466 9660 11199 14490 14932 18665 22398 26131 28980 33597 37330 44796 52262 55995 67194 74660 78393 85859 104524 111990 130655 134388 156786 167985 171718 223980 235179 257577 261310 313572 335970 343436 391965 429295 470358 515154 522620 601013 671940 772731 783930 858590 940716 1030308 1175895 1202026 1287885 1545462 1567860 1717180 1803039 2351790 2404052 2575770 3005065 3090924 3606078 3863655 4703580 5151540 5409117 6010130 7212156 7727310 9015195 10818234 12020260 15454620 18030390 21636468 27045585 36060780 54091170 108182340