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108054180 = 223251361757
BaseRepresentation
bin1100111000011…
…00011010100100
321112022201110200
412130030122210
5210130213210
614415550500
72451305523
oct634143244
9245281420
10108054180
1155aa2783
123022b430
13195037b0
14104ca4ba
1597460c0
hex670c6a4

108054180 has 144 divisors (see below), whose sum is σ = 359237424. Its totient is φ = 26127360.

The previous prime is 108054169. The next prime is 108054181. The reversal of 108054180 is 81450801.

It can be written as a sum of positive squares in 8 ways, for example, as 25644096 + 82410084 = 5064^2 + 9078^2 .

It is not an unprimeable number, because it can be changed into a prime (108054181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142362 + ... + 143118.

Almost surely, 2108054180 is an apocalyptic number.

108054180 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 108054180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179618712).

108054180 is an abundant number, since it is smaller than the sum of its proper divisors (251183244).

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

108054180 is a wasteful number, since it uses less digits than its factorization.

108054180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 108054180 is about 10394.9112550324. The cubic root of 108054180 is about 476.2999368969.

The spelling of 108054180 in words is "one hundred eight million, fifty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 732 757 780 793 915 1098 1170 1220 1514 1586 1830 2196 2271 2340 2379 2745 3028 3172 3660 3785 3965 4542 4758 5490 6813 7137 7570 7930 9084 9516 9841 10980 11355 11895 13626 14274 15140 15860 19682 22710 23790 27252 28548 29523 34065 35685 39364 45420 46177 47580 49205 59046 68130 71370 88569 92354 98410 118092 136260 138531 142740 147615 177138 184708 196820 230885 277062 295230 354276 415593 442845 461770 554124 590460 600301 692655 831186 885690 923540 1200602 1385310 1662372 1771380 1800903 2077965 2401204 2770620 3001505 3601806 4155930 5402709 6003010 7203612 8311860 9004515 10805418 12006020 18009030 21610836 27013545 36018060 54027090 108054180